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Finding the Fourth Proportional to 720.44, 994.07 and 425.66

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Solution

The fourth proportional to 720.44, 994.07 and 425.66 is: 587.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.44 : 994.07 = 425.66 : x
  2. Step 2: Convert to fraction form
    720.44/994.07 = 425.66/x
  3. Step 3: Cross multiply
    720.44x = 994.07 × 425.66
  4. Step 4: Simplify right side
    720.44x = 423,128.74
  5. Step 5: Solve for x
    x = 423,128.74/720.44
  6. Step 6: Final answer
    x = 587.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.