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Finding the Fourth Proportional to 1,102.57, 1,521.61 and 728.89

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Solution

The fourth proportional to 1,102.57, 1,521.61 and 728.89 is: 1,005.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.57 : 1,521.61 = 728.89 : x
  2. Step 2: Convert to fraction form
    1,102.57/1,521.61 = 728.89/x
  3. Step 3: Cross multiply
    1,102.57x = 1,521.61 × 728.89
  4. Step 4: Simplify right side
    1,102.57x = 1,109,080.69
  5. Step 5: Solve for x
    x = 1,109,080.69/1,102.57
  6. Step 6: Final answer
    x = 1,005.91

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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.