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Finding the Fourth Proportional to 974.66, 1,462.53 and 535.92

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Solution

The fourth proportional to 974.66, 1,462.53 and 535.92 is: 804.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.66 : 1,462.53 = 535.92 : x
  2. Step 2: Convert to fraction form
    974.66/1,462.53 = 535.92/x
  3. Step 3: Cross multiply
    974.66x = 1,462.53 × 535.92
  4. Step 4: Simplify right side
    974.66x = 783,799.08
  5. Step 5: Solve for x
    x = 783,799.08/974.66
  6. Step 6: Final answer
    x = 804.18

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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.