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Finding the Fourth Proportional to 720.74, 1,081.65 and 447.23

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Solution

The fourth proportional to 720.74, 1,081.65 and 447.23 is: 671.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.74 : 1,081.65 = 447.23 : x
  2. Step 2: Convert to fraction form
    720.74/1,081.65 = 447.23/x
  3. Step 3: Cross multiply
    720.74x = 1,081.65 × 447.23
  4. Step 4: Simplify right side
    720.74x = 483,746.33
  5. Step 5: Solve for x
    x = 483,746.33/720.74
  6. Step 6: Final answer
    x = 671.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.