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Finding the Fourth Proportional to 720.72, 994.50 and 426.09

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Solution

The fourth proportional to 720.72, 994.50 and 426.09 is: 587.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.72 : 994.50 = 426.09 : x
  2. Step 2: Convert to fraction form
    720.72/994.50 = 426.09/x
  3. Step 3: Cross multiply
    720.72x = 994.50 × 426.09
  4. Step 4: Simplify right side
    720.72x = 423,746.51
  5. Step 5: Solve for x
    x = 423,746.51/720.72
  6. Step 6: Final answer
    x = 587.95

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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.