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Finding the Fourth Proportional to 716.62, 1,073.30 and 587.02

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Solution

The fourth proportional to 716.62, 1,073.30 and 587.02 is: 879.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.62 : 1,073.30 = 587.02 : x
  2. Step 2: Convert to fraction form
    716.62/1,073.30 = 587.02/x
  3. Step 3: Cross multiply
    716.62x = 1,073.30 × 587.02
  4. Step 4: Simplify right side
    716.62x = 630,048.57
  5. Step 5: Solve for x
    x = 630,048.57/716.62
  6. Step 6: Final answer
    x = 879.19

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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.