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Finding the Fourth Proportional to 720.29, 993.65 and 425.39

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Solution

The fourth proportional to 720.29, 993.65 and 425.39 is: 586.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.29 : 993.65 = 425.39 : x
  2. Step 2: Convert to fraction form
    720.29/993.65 = 425.39/x
  3. Step 3: Cross multiply
    720.29x = 993.65 × 425.39
  4. Step 4: Simplify right side
    720.29x = 422,684.87
  5. Step 5: Solve for x
    x = 422,684.87/720.29
  6. Step 6: Final answer
    x = 586.82

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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.