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Finding the Fourth Proportional to 733.60, 1,101.92 and 709.00

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Solution

The fourth proportional to 733.60, 1,101.92 and 709.00 is: 1,064.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.60 : 1,101.92 = 709.00 : x
  2. Step 2: Convert to fraction form
    733.60/1,101.92 = 709.00/x
  3. Step 3: Cross multiply
    733.60x = 1,101.92 × 709.00
  4. Step 4: Simplify right side
    733.60x = 781,255.77
  5. Step 5: Solve for x
    x = 781,255.77/733.60
  6. Step 6: Final answer
    x = 1,064.96

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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.