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Finding the Fourth Proportional to 1,090.25, 1,497.24 and 932.89

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Solution

The fourth proportional to 1,090.25, 1,497.24 and 932.89 is: 1,281.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.25 : 1,497.24 = 932.89 : x
  2. Step 2: Convert to fraction form
    1,090.25/1,497.24 = 932.89/x
  3. Step 3: Cross multiply
    1,090.25x = 1,497.24 × 932.89
  4. Step 4: Simplify right side
    1,090.25x = 1,396,764.15
  5. Step 5: Solve for x
    x = 1,396,764.15/1,090.25
  6. Step 6: Final answer
    x = 1,281.14

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.