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Finding the Fourth Proportional to 691.97, 1,038.31 and 307.13

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Solution

The fourth proportional to 691.97, 1,038.31 and 307.13 is: 460.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.97 : 1,038.31 = 307.13 : x
  2. Step 2: Convert to fraction form
    691.97/1,038.31 = 307.13/x
  3. Step 3: Cross multiply
    691.97x = 1,038.31 × 307.13
  4. Step 4: Simplify right side
    691.97x = 318,896.15
  5. Step 5: Solve for x
    x = 318,896.15/691.97
  6. Step 6: Final answer
    x = 460.85

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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.