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Finding the Fourth Proportional to 731.12, 1,097.40 and 548.96

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Solution

The fourth proportional to 731.12, 1,097.40 and 548.96 is: 823.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.12 : 1,097.40 = 548.96 : x
  2. Step 2: Convert to fraction form
    731.12/1,097.40 = 548.96/x
  3. Step 3: Cross multiply
    731.12x = 1,097.40 × 548.96
  4. Step 4: Simplify right side
    731.12x = 602,428.70
  5. Step 5: Solve for x
    x = 602,428.70/731.12
  6. Step 6: Final answer
    x = 823.98

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Why These Related Problems?

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