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Finding the Fourth Proportional to 759.02, 1,139.20 and 451.15

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Solution

The fourth proportional to 759.02, 1,139.20 and 451.15 is: 677.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.02 : 1,139.20 = 451.15 : x
  2. Step 2: Convert to fraction form
    759.02/1,139.20 = 451.15/x
  3. Step 3: Cross multiply
    759.02x = 1,139.20 × 451.15
  4. Step 4: Simplify right side
    759.02x = 513,946.10
  5. Step 5: Solve for x
    x = 513,946.10/759.02
  6. Step 6: Final answer
    x = 677.12

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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.