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Finding the Fourth Proportional to 974.62, 1,460 and 511.71

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Solution

The fourth proportional to 974.62, 1,460 and 511.71 is: 766.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.62 : 1,460 = 511.71 : x
  2. Step 2: Convert to fraction form
    974.62/1,460 = 511.71/x
  3. Step 3: Cross multiply
    974.62x = 1,460 × 511.71
  4. Step 4: Simplify right side
    974.62x = 747,096.60
  5. Step 5: Solve for x
    x = 747,096.60/974.62
  6. Step 6: Final answer
    x = 766.55

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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.