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Finding the Fourth Proportional to 759.22, 1,140.05 and 574.14

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Solution

The fourth proportional to 759.22, 1,140.05 and 574.14 is: 862.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.22 : 1,140.05 = 574.14 : x
  2. Step 2: Convert to fraction form
    759.22/1,140.05 = 574.14/x
  3. Step 3: Cross multiply
    759.22x = 1,140.05 × 574.14
  4. Step 4: Simplify right side
    759.22x = 654,548.31
  5. Step 5: Solve for x
    x = 654,548.31/759.22
  6. Step 6: Final answer
    x = 862.13

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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.