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Finding the Fourth Proportional to 691.34, 1,035.59 and 416.75

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Solution

The fourth proportional to 691.34, 1,035.59 and 416.75 is: 624.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.34 : 1,035.59 = 416.75 : x
  2. Step 2: Convert to fraction form
    691.34/1,035.59 = 416.75/x
  3. Step 3: Cross multiply
    691.34x = 1,035.59 × 416.75
  4. Step 4: Simplify right side
    691.34x = 431,574.87
  5. Step 5: Solve for x
    x = 431,574.87/691.34
  6. Step 6: Final answer
    x = 624.26

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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.