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Finding the Fourth Proportional to 1,104.72, 1,531.76 and 1,046.40

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Solution

The fourth proportional to 1,104.72, 1,531.76 and 1,046.40 is: 1,450.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.72 : 1,531.76 = 1,046.40 : x
  2. Step 2: Convert to fraction form
    1,104.72/1,531.76 = 1,046.40/x
  3. Step 3: Cross multiply
    1,104.72x = 1,531.76 × 1,046.40
  4. Step 4: Simplify right side
    1,104.72x = 1,602,833.66
  5. Step 5: Solve for x
    x = 1,602,833.66/1,104.72
  6. Step 6: Final answer
    x = 1,450.90

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.