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Finding the Fourth Proportional to 691.74, 1,036.40 and 432.14

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Solution

The fourth proportional to 691.74, 1,036.40 and 432.14 is: 647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.74 : 1,036.40 = 432.14 : x
  2. Step 2: Convert to fraction form
    691.74/1,036.40 = 432.14/x
  3. Step 3: Cross multiply
    691.74x = 1,036.40 × 432.14
  4. Step 4: Simplify right side
    691.74x = 447,862.55
  5. Step 5: Solve for x
    x = 447,862.55/691.74
  6. Step 6: Final answer
    x = 647.44

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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.