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Finding the Fourth Proportional to 974.46, 1,461.72 and 541.38

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Solution

The fourth proportional to 974.46, 1,461.72 and 541.38 is: 812.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.46 : 1,461.72 = 541.38 : x
  2. Step 2: Convert to fraction form
    974.46/1,461.72 = 541.38/x
  3. Step 3: Cross multiply
    974.46x = 1,461.72 × 541.38
  4. Step 4: Simplify right side
    974.46x = 791,345.97
  5. Step 5: Solve for x
    x = 791,345.97/974.46
  6. Step 6: Final answer
    x = 812.09

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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.