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Finding the Fourth Proportional to 759.56, 1,139.66 and 412.47

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Solution

The fourth proportional to 759.56, 1,139.66 and 412.47 is: 618.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.56 : 1,139.66 = 412.47 : x
  2. Step 2: Convert to fraction form
    759.56/1,139.66 = 412.47/x
  3. Step 3: Cross multiply
    759.56x = 1,139.66 × 412.47
  4. Step 4: Simplify right side
    759.56x = 470,073.50
  5. Step 5: Solve for x
    x = 470,073.50/759.56
  6. Step 6: Final answer
    x = 618.88

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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.