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Finding the Fourth Proportional to 1,452.64, 2,178.97 and 357

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Solution

The fourth proportional to 1,452.64, 2,178.97 and 357 is: 535.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.64 : 2,178.97 = 357 : x
  2. Step 2: Convert to fraction form
    1,452.64/2,178.97 = 357/x
  3. Step 3: Cross multiply
    1,452.64x = 2,178.97 × 357
  4. Step 4: Simplify right side
    1,452.64x = 777,892.29
  5. Step 5: Solve for x
    x = 777,892.29/1,452.64
  6. Step 6: Final answer
    x = 535.50

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.