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Finding the Fourth Proportional to 720.76, 994.62 and 426.04

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Solution

The fourth proportional to 720.76, 994.62 and 426.04 is: 587.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.76 : 994.62 = 426.04 : x
  2. Step 2: Convert to fraction form
    720.76/994.62 = 426.04/x
  3. Step 3: Cross multiply
    720.76x = 994.62 × 426.04
  4. Step 4: Simplify right side
    720.76x = 423,747.90
  5. Step 5: Solve for x
    x = 423,747.90/720.76
  6. Step 6: Final answer
    x = 587.92

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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.