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Finding the Fourth Proportional to 720.62, 994.34 and 425.87

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Solution

The fourth proportional to 720.62, 994.34 and 425.87 is: 587.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.62 : 994.34 = 425.87 : x
  2. Step 2: Convert to fraction form
    720.62/994.34 = 425.87/x
  3. Step 3: Cross multiply
    720.62x = 994.34 × 425.87
  4. Step 4: Simplify right side
    720.62x = 423,459.58
  5. Step 5: Solve for x
    x = 423,459.58/720.62
  6. Step 6: Final answer
    x = 587.63

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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.