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Finding the Fourth Proportional to 721.15, 1,082.85 and 582.81

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Solution

The fourth proportional to 721.15, 1,082.85 and 582.81 is: 875.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.15 : 1,082.85 = 582.81 : x
  2. Step 2: Convert to fraction form
    721.15/1,082.85 = 582.81/x
  3. Step 3: Cross multiply
    721.15x = 1,082.85 × 582.81
  4. Step 4: Simplify right side
    721.15x = 631,095.81
  5. Step 5: Solve for x
    x = 631,095.81/721.15
  6. Step 6: Final answer
    x = 875.12

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Why These Related Problems?

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