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Finding the Fourth Proportional to 801.07, 1,104.56 and 653.24

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Solution

The fourth proportional to 801.07, 1,104.56 and 653.24 is: 900.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.07 : 1,104.56 = 653.24 : x
  2. Step 2: Convert to fraction form
    801.07/1,104.56 = 653.24/x
  3. Step 3: Cross multiply
    801.07x = 1,104.56 × 653.24
  4. Step 4: Simplify right side
    801.07x = 721,542.77
  5. Step 5: Solve for x
    x = 721,542.77/801.07
  6. Step 6: Final answer
    x = 900.72

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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.