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Finding the Fourth Proportional to 687.32, 1,029.14 and 413.03

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Solution

The fourth proportional to 687.32, 1,029.14 and 413.03 is: 618.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.32 : 1,029.14 = 413.03 : x
  2. Step 2: Convert to fraction form
    687.32/1,029.14 = 413.03/x
  3. Step 3: Cross multiply
    687.32x = 1,029.14 × 413.03
  4. Step 4: Simplify right side
    687.32x = 425,067.75
  5. Step 5: Solve for x
    x = 425,067.75/687.32
  6. Step 6: Final answer
    x = 618.44

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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.