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Finding the Fourth Proportional to 966.79, 1,334.17 and 524.69

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Solution

The fourth proportional to 966.79, 1,334.17 and 524.69 is: 724.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.79 : 1,334.17 = 524.69 : x
  2. Step 2: Convert to fraction form
    966.79/1,334.17 = 524.69/x
  3. Step 3: Cross multiply
    966.79x = 1,334.17 × 524.69
  4. Step 4: Simplify right side
    966.79x = 700,025.66
  5. Step 5: Solve for x
    x = 700,025.66/966.79
  6. Step 6: Final answer
    x = 724.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.