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Finding the Fourth Proportional to 722.52, 1,082.06 and 584.11

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Solution

The fourth proportional to 722.52, 1,082.06 and 584.11 is: 874.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.52 : 1,082.06 = 584.11 : x
  2. Step 2: Convert to fraction form
    722.52/1,082.06 = 584.11/x
  3. Step 3: Cross multiply
    722.52x = 1,082.06 × 584.11
  4. Step 4: Simplify right side
    722.52x = 632,042.69
  5. Step 5: Solve for x
    x = 632,042.69/722.52
  6. Step 6: Final answer
    x = 874.78

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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.