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Finding the Fourth Proportional to 686.52, 1,030.14 and 413.52

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Solution

The fourth proportional to 686.52, 1,030.14 and 413.52 is: 620.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.52 : 1,030.14 = 413.52 : x
  2. Step 2: Convert to fraction form
    686.52/1,030.14 = 413.52/x
  3. Step 3: Cross multiply
    686.52x = 1,030.14 × 413.52
  4. Step 4: Simplify right side
    686.52x = 425,983.49
  5. Step 5: Solve for x
    x = 425,983.49/686.52
  6. Step 6: Final answer
    x = 620.50

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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.