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Finding the Fourth Proportional to 712.71, 984.09 and 642.49

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Solution

The fourth proportional to 712.71, 984.09 and 642.49 is: 887.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.71 : 984.09 = 642.49 : x
  2. Step 2: Convert to fraction form
    712.71/984.09 = 642.49/x
  3. Step 3: Cross multiply
    712.71x = 984.09 × 642.49
  4. Step 4: Simplify right side
    712.71x = 632,267.93
  5. Step 5: Solve for x
    x = 632,267.93/712.71
  6. Step 6: Final answer
    x = 887.13

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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.