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Finding the Fourth Proportional to 691.52, 1,037.93 and 460.57

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Solution

The fourth proportional to 691.52, 1,037.93 and 460.57 is: 691.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.52 : 1,037.93 = 460.57 : x
  2. Step 2: Convert to fraction form
    691.52/1,037.93 = 460.57/x
  3. Step 3: Cross multiply
    691.52x = 1,037.93 × 460.57
  4. Step 4: Simplify right side
    691.52x = 478,037.76
  5. Step 5: Solve for x
    x = 478,037.76/691.52
  6. Step 6: Final answer
    x = 691.29

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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.