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Finding the Fourth Proportional to 759.56, 1,140.46 and 722.42

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Solution

The fourth proportional to 759.56, 1,140.46 and 722.42 is: 1,084.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.56 : 1,140.46 = 722.42 : x
  2. Step 2: Convert to fraction form
    759.56/1,140.46 = 722.42/x
  3. Step 3: Cross multiply
    759.56x = 1,140.46 × 722.42
  4. Step 4: Simplify right side
    759.56x = 823,891.11
  5. Step 5: Solve for x
    x = 823,891.11/759.56
  6. Step 6: Final answer
    x = 1,084.70

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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.