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Finding the Fourth Proportional to 687.71, 1,029.71 and 413.42

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Solution

The fourth proportional to 687.71, 1,029.71 and 413.42 is: 619.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.71 : 1,029.71 = 413.42 : x
  2. Step 2: Convert to fraction form
    687.71/1,029.71 = 413.42/x
  3. Step 3: Cross multiply
    687.71x = 1,029.71 × 413.42
  4. Step 4: Simplify right side
    687.71x = 425,695.49
  5. Step 5: Solve for x
    x = 425,695.49/687.71
  6. Step 6: Final answer
    x = 619.01

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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.