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Finding the Fourth Proportional to 691.70, 1,037.03 and 417.74

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Solution

The fourth proportional to 691.70, 1,037.03 and 417.74 is: 626.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.70 : 1,037.03 = 417.74 : x
  2. Step 2: Convert to fraction form
    691.70/1,037.03 = 417.74/x
  3. Step 3: Cross multiply
    691.70x = 1,037.03 × 417.74
  4. Step 4: Simplify right side
    691.70x = 433,203.73
  5. Step 5: Solve for x
    x = 433,203.73/691.70
  6. Step 6: Final answer
    x = 626.29

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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.