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Finding the Fourth Proportional to 1,128.80, 1,557.83 and 731.03

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Solution

The fourth proportional to 1,128.80, 1,557.83 and 731.03 is: 1,008.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,128.80 : 1,557.83 = 731.03 : x
  2. Step 2: Convert to fraction form
    1,128.80/1,557.83 = 731.03/x
  3. Step 3: Cross multiply
    1,128.80x = 1,557.83 × 731.03
  4. Step 4: Simplify right side
    1,128.80x = 1,138,814.50
  5. Step 5: Solve for x
    x = 1,138,814.50/1,128.80
  6. Step 6: Final answer
    x = 1,008.87

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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.