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Finding the Fourth Proportional to 1,084.16, 1,496.31 and 691.31

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Solution

The fourth proportional to 1,084.16, 1,496.31 and 691.31 is: 954.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.16 : 1,496.31 = 691.31 : x
  2. Step 2: Convert to fraction form
    1,084.16/1,496.31 = 691.31/x
  3. Step 3: Cross multiply
    1,084.16x = 1,496.31 × 691.31
  4. Step 4: Simplify right side
    1,084.16x = 1,034,414.07
  5. Step 5: Solve for x
    x = 1,034,414.07/1,084.16
  6. Step 6: Final answer
    x = 954.12

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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.