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Finding the Fourth Proportional to 759.47, 1,144.63 and 717.08

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Solution

The fourth proportional to 759.47, 1,144.63 and 717.08 is: 1,080.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.47 : 1,144.63 = 717.08 : x
  2. Step 2: Convert to fraction form
    759.47/1,144.63 = 717.08/x
  3. Step 3: Cross multiply
    759.47x = 1,144.63 × 717.08
  4. Step 4: Simplify right side
    759.47x = 820,786.45
  5. Step 5: Solve for x
    x = 820,786.45/759.47
  6. Step 6: Final answer
    x = 1,080.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.