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Finding the Fourth Proportional to 687.29, 1,031.84 and 413.91

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Solution

The fourth proportional to 687.29, 1,031.84 and 413.91 is: 621.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.29 : 1,031.84 = 413.91 : x
  2. Step 2: Convert to fraction form
    687.29/1,031.84 = 413.91/x
  3. Step 3: Cross multiply
    687.29x = 1,031.84 × 413.91
  4. Step 4: Simplify right side
    687.29x = 427,088.38
  5. Step 5: Solve for x
    x = 427,088.38/687.29
  6. Step 6: Final answer
    x = 621.41

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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.