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Finding the Fourth Proportional to 713.14, 1,069.88 and 614.72

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Solution

The fourth proportional to 713.14, 1,069.88 and 614.72 is: 922.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.14 : 1,069.88 = 614.72 : x
  2. Step 2: Convert to fraction form
    713.14/1,069.88 = 614.72/x
  3. Step 3: Cross multiply
    713.14x = 1,069.88 × 614.72
  4. Step 4: Simplify right side
    713.14x = 657,676.23
  5. Step 5: Solve for x
    x = 657,676.23/713.14
  6. Step 6: Final answer
    x = 922.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.