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Finding the Fourth Proportional to 1,529.60, 2,294.05 and 748.82

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Solution

The fourth proportional to 1,529.60, 2,294.05 and 748.82 is: 1,123.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.60 : 2,294.05 = 748.82 : x
  2. Step 2: Convert to fraction form
    1,529.60/2,294.05 = 748.82/x
  3. Step 3: Cross multiply
    1,529.60x = 2,294.05 × 748.82
  4. Step 4: Simplify right side
    1,529.60x = 1,717,831.97
  5. Step 5: Solve for x
    x = 1,717,831.97/1,529.60
  6. Step 6: Final answer
    x = 1,123.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.