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Finding the Fourth Proportional to 686.26, 1,035.47 and 656.29

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Solution

The fourth proportional to 686.26, 1,035.47 and 656.29 is: 990.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.26 : 1,035.47 = 656.29 : x
  2. Step 2: Convert to fraction form
    686.26/1,035.47 = 656.29/x
  3. Step 3: Cross multiply
    686.26x = 1,035.47 × 656.29
  4. Step 4: Simplify right side
    686.26x = 679,568.61
  5. Step 5: Solve for x
    x = 679,568.61/686.26
  6. Step 6: Final answer
    x = 990.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.