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Finding the Fourth Proportional to 974.52, 1,460.28 and 661.76

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Solution

The fourth proportional to 974.52, 1,460.28 and 661.76 is: 991.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.52 : 1,460.28 = 661.76 : x
  2. Step 2: Convert to fraction form
    974.52/1,460.28 = 661.76/x
  3. Step 3: Cross multiply
    974.52x = 1,460.28 × 661.76
  4. Step 4: Simplify right side
    974.52x = 966,363.76
  5. Step 5: Solve for x
    x = 966,363.76/974.52
  6. Step 6: Final answer
    x = 991.63

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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.