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Finding the Fourth Proportional to 971.71, 1,454.92 and 908.53

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Solution

The fourth proportional to 971.71, 1,454.92 and 908.53 is: 1,360.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.71 : 1,454.92 = 908.53 : x
  2. Step 2: Convert to fraction form
    971.71/1,454.92 = 908.53/x
  3. Step 3: Cross multiply
    971.71x = 1,454.92 × 908.53
  4. Step 4: Simplify right side
    971.71x = 1,321,838.47
  5. Step 5: Solve for x
    x = 1,321,838.47/971.71
  6. Step 6: Final answer
    x = 1,360.32

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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.