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Finding the Fourth Proportional to 1,284.71, 1,772.92 and 753.47

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Solution

The fourth proportional to 1,284.71, 1,772.92 and 753.47 is: 1,039.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.71 : 1,772.92 = 753.47 : x
  2. Step 2: Convert to fraction form
    1,284.71/1,772.92 = 753.47/x
  3. Step 3: Cross multiply
    1,284.71x = 1,772.92 × 753.47
  4. Step 4: Simplify right side
    1,284.71x = 1,335,833.17
  5. Step 5: Solve for x
    x = 1,335,833.17/1,284.71
  6. Step 6: Final answer
    x = 1,039.79

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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.