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Finding the Fourth Proportional to 971, 1,454.86 and 681

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Solution

The fourth proportional to 971, 1,454.86 and 681 is: 1,020.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    971 : 1,454.86 = 681 : x
  2. Step 2: Convert to fraction form
    971/1,454.86 = 681/x
  3. Step 3: Cross multiply
    971x = 1,454.86 × 681
  4. Step 4: Simplify right side
    971x = 990,759.66
  5. Step 5: Solve for x
    x = 990,759.66/971
  6. Step 6: Final answer
    x = 1,020.35

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