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Finding the Fourth Proportional to 708.19, 974.88 and 614.38

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Solution

The fourth proportional to 708.19, 974.88 and 614.38 is: 845.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.19 : 974.88 = 614.38 : x
  2. Step 2: Convert to fraction form
    708.19/974.88 = 614.38/x
  3. Step 3: Cross multiply
    708.19x = 974.88 × 614.38
  4. Step 4: Simplify right side
    708.19x = 598,946.91
  5. Step 5: Solve for x
    x = 598,946.91/708.19
  6. Step 6: Final answer
    x = 845.74

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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.