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Finding the Fourth Proportional to 687.20, 1,029.43 and 413.14

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Solution

The fourth proportional to 687.20, 1,029.43 and 413.14 is: 618.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.20 : 1,029.43 = 413.14 : x
  2. Step 2: Convert to fraction form
    687.20/1,029.43 = 413.14/x
  3. Step 3: Cross multiply
    687.20x = 1,029.43 × 413.14
  4. Step 4: Simplify right side
    687.20x = 425,298.96
  5. Step 5: Solve for x
    x = 425,298.96/687.20
  6. Step 6: Final answer
    x = 618.89

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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.