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Finding the Fourth Proportional to 1,084.71, 1,496.70 and 642.75

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Solution

The fourth proportional to 1,084.71, 1,496.70 and 642.75 is: 886.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.71 : 1,496.70 = 642.75 : x
  2. Step 2: Convert to fraction form
    1,084.71/1,496.70 = 642.75/x
  3. Step 3: Cross multiply
    1,084.71x = 1,496.70 × 642.75
  4. Step 4: Simplify right side
    1,084.71x = 962,003.93
  5. Step 5: Solve for x
    x = 962,003.93/1,084.71
  6. Step 6: Final answer
    x = 886.88

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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.