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Finding the Fourth Proportional to 968.79, 1,337.18 and 614.92

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Solution

The fourth proportional to 968.79, 1,337.18 and 614.92 is: 848.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.79 : 1,337.18 = 614.92 : x
  2. Step 2: Convert to fraction form
    968.79/1,337.18 = 614.92/x
  3. Step 3: Cross multiply
    968.79x = 1,337.18 × 614.92
  4. Step 4: Simplify right side
    968.79x = 822,258.73
  5. Step 5: Solve for x
    x = 822,258.73/968.79
  6. Step 6: Final answer
    x = 848.75

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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.