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Finding the Fourth Proportional to 974.40, 1,462.16 and 541.52

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Solution

The fourth proportional to 974.40, 1,462.16 and 541.52 is: 812.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.40 : 1,462.16 = 541.52 : x
  2. Step 2: Convert to fraction form
    974.40/1,462.16 = 541.52/x
  3. Step 3: Cross multiply
    974.40x = 1,462.16 × 541.52
  4. Step 4: Simplify right side
    974.40x = 791,788.88
  5. Step 5: Solve for x
    x = 791,788.88/974.40
  6. Step 6: Final answer
    x = 812.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.