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Finding the Fourth Proportional to 810.88, 1,217.38 and 482.42

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Solution

The fourth proportional to 810.88, 1,217.38 and 482.42 is: 724.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.88 : 1,217.38 = 482.42 : x
  2. Step 2: Convert to fraction form
    810.88/1,217.38 = 482.42/x
  3. Step 3: Cross multiply
    810.88x = 1,217.38 × 482.42
  4. Step 4: Simplify right side
    810.88x = 587,288.46
  5. Step 5: Solve for x
    x = 587,288.46/810.88
  6. Step 6: Final answer
    x = 724.26

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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.