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Finding the Fourth Proportional to 1,363.64, 1,882.24 and 839.84

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Solution

The fourth proportional to 1,363.64, 1,882.24 and 839.84 is: 1,159.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.64 : 1,882.24 = 839.84 : x
  2. Step 2: Convert to fraction form
    1,363.64/1,882.24 = 839.84/x
  3. Step 3: Cross multiply
    1,363.64x = 1,882.24 × 839.84
  4. Step 4: Simplify right side
    1,363.64x = 1,580,768.93
  5. Step 5: Solve for x
    x = 1,580,768.93/1,363.64
  6. Step 6: Final answer
    x = 1,159.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.