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Finding the Fourth Proportional to 971.22, 1,454.67 and 538.10

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Solution

The fourth proportional to 971.22, 1,454.67 and 538.10 is: 805.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.22 : 1,454.67 = 538.10 : x
  2. Step 2: Convert to fraction form
    971.22/1,454.67 = 538.10/x
  3. Step 3: Cross multiply
    971.22x = 1,454.67 × 538.10
  4. Step 4: Simplify right side
    971.22x = 782,757.93
  5. Step 5: Solve for x
    x = 782,757.93/971.22
  6. Step 6: Final answer
    x = 805.95

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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.