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Finding the Fourth Proportional to 1,079.71, 1,490.61 and 748.42

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Solution

The fourth proportional to 1,079.71, 1,490.61 and 748.42 is: 1,033.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.71 : 1,490.61 = 748.42 : x
  2. Step 2: Convert to fraction form
    1,079.71/1,490.61 = 748.42/x
  3. Step 3: Cross multiply
    1,079.71x = 1,490.61 × 748.42
  4. Step 4: Simplify right side
    1,079.71x = 1,115,602.34
  5. Step 5: Solve for x
    x = 1,115,602.34/1,079.71
  6. Step 6: Final answer
    x = 1,033.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.