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Finding the Fourth Proportional to 713.90, 986.36 and 688.92

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Solution

The fourth proportional to 713.90, 986.36 and 688.92 is: 951.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.90 : 986.36 = 688.92 : x
  2. Step 2: Convert to fraction form
    713.90/986.36 = 688.92/x
  3. Step 3: Cross multiply
    713.90x = 986.36 × 688.92
  4. Step 4: Simplify right side
    713.90x = 679,519.69
  5. Step 5: Solve for x
    x = 679,519.69/713.90
  6. Step 6: Final answer
    x = 951.85

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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.