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Finding the Fourth Proportional to 691.26, 1,035.84 and 417.04

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Solution

The fourth proportional to 691.26, 1,035.84 and 417.04 is: 624.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.26 : 1,035.84 = 417.04 : x
  2. Step 2: Convert to fraction form
    691.26/1,035.84 = 417.04/x
  3. Step 3: Cross multiply
    691.26x = 1,035.84 × 417.04
  4. Step 4: Simplify right side
    691.26x = 431,986.71
  5. Step 5: Solve for x
    x = 431,986.71/691.26
  6. Step 6: Final answer
    x = 624.93

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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.