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Finding the Fourth Proportional to 759.88, 1,048.57 and 445.12

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Solution

The fourth proportional to 759.88, 1,048.57 and 445.12 is: 614.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.88 : 1,048.57 = 445.12 : x
  2. Step 2: Convert to fraction form
    759.88/1,048.57 = 445.12/x
  3. Step 3: Cross multiply
    759.88x = 1,048.57 × 445.12
  4. Step 4: Simplify right side
    759.88x = 466,734.24
  5. Step 5: Solve for x
    x = 466,734.24/759.88
  6. Step 6: Final answer
    x = 614.23

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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.