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Finding the Fourth Proportional to 968.66, 1,454.85 and 830.15

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Solution

The fourth proportional to 968.66, 1,454.85 and 830.15 is: 1,246.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.66 : 1,454.85 = 830.15 : x
  2. Step 2: Convert to fraction form
    968.66/1,454.85 = 830.15/x
  3. Step 3: Cross multiply
    968.66x = 1,454.85 × 830.15
  4. Step 4: Simplify right side
    968.66x = 1,207,743.73
  5. Step 5: Solve for x
    x = 1,207,743.73/968.66
  6. Step 6: Final answer
    x = 1,246.82

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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.