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Finding the Fourth Proportional to 759.87, 1,049.13 and 465.57

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Solution

The fourth proportional to 759.87, 1,049.13 and 465.57 is: 642.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.87 : 1,049.13 = 465.57 : x
  2. Step 2: Convert to fraction form
    759.87/1,049.13 = 465.57/x
  3. Step 3: Cross multiply
    759.87x = 1,049.13 × 465.57
  4. Step 4: Simplify right side
    759.87x = 488,443.45
  5. Step 5: Solve for x
    x = 488,443.45/759.87
  6. Step 6: Final answer
    x = 642.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.