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Finding the Fourth Proportional to 709.27, 1,063.50 and 275.92

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Solution

The fourth proportional to 709.27, 1,063.50 and 275.92 is: 413.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.27 : 1,063.50 = 275.92 : x
  2. Step 2: Convert to fraction form
    709.27/1,063.50 = 275.92/x
  3. Step 3: Cross multiply
    709.27x = 1,063.50 × 275.92
  4. Step 4: Simplify right side
    709.27x = 293,443.58
  5. Step 5: Solve for x
    x = 293,443.58/709.27
  6. Step 6: Final answer
    x = 413.72

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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.