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Finding the Fourth Proportional to 759.75, 1,140.19 and 586.85

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Solution

The fourth proportional to 759.75, 1,140.19 and 586.85 is: 880.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.75 : 1,140.19 = 586.85 : x
  2. Step 2: Convert to fraction form
    759.75/1,140.19 = 586.85/x
  3. Step 3: Cross multiply
    759.75x = 1,140.19 × 586.85
  4. Step 4: Simplify right side
    759.75x = 669,117.57
  5. Step 5: Solve for x
    x = 669,117.57/759.75
  6. Step 6: Final answer
    x = 880.71

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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.