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Finding the Fourth Proportional to 762.35, 1,143.17 and 397.04

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Solution

The fourth proportional to 762.35, 1,143.17 and 397.04 is: 595.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.35 : 1,143.17 = 397.04 : x
  2. Step 2: Convert to fraction form
    762.35/1,143.17 = 397.04/x
  3. Step 3: Cross multiply
    762.35x = 1,143.17 × 397.04
  4. Step 4: Simplify right side
    762.35x = 453,884.22
  5. Step 5: Solve for x
    x = 453,884.22/762.35
  6. Step 6: Final answer
    x = 595.38

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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.