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Finding the Fourth Proportional to 1,142.35, 1,713.39 and 362.35

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Solution

The fourth proportional to 1,142.35, 1,713.39 and 362.35 is: 543.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.35 : 1,713.39 = 362.35 : x
  2. Step 2: Convert to fraction form
    1,142.35/1,713.39 = 362.35/x
  3. Step 3: Cross multiply
    1,142.35x = 1,713.39 × 362.35
  4. Step 4: Simplify right side
    1,142.35x = 620,846.87
  5. Step 5: Solve for x
    x = 620,846.87/1,142.35
  6. Step 6: Final answer
    x = 543.48

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Double scale
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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.