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Finding the Fourth Proportional to 974.61, 1,344.87 and 601.47

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Solution

The fourth proportional to 974.61, 1,344.87 and 601.47 is: 829.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.61 : 1,344.87 = 601.47 : x
  2. Step 2: Convert to fraction form
    974.61/1,344.87 = 601.47/x
  3. Step 3: Cross multiply
    974.61x = 1,344.87 × 601.47
  4. Step 4: Simplify right side
    974.61x = 808,898.96
  5. Step 5: Solve for x
    x = 808,898.96/974.61
  6. Step 6: Final answer
    x = 829.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.