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Finding the Fourth Proportional to 1,553.16, 2,329.40 and 731.80

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Solution

The fourth proportional to 1,553.16, 2,329.40 and 731.80 is: 1,097.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.16 : 2,329.40 = 731.80 : x
  2. Step 2: Convert to fraction form
    1,553.16/2,329.40 = 731.80/x
  3. Step 3: Cross multiply
    1,553.16x = 2,329.40 × 731.80
  4. Step 4: Simplify right side
    1,553.16x = 1,704,654.92
  5. Step 5: Solve for x
    x = 1,704,654.92/1,553.16
  6. Step 6: Final answer
    x = 1,097.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.