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Finding the Fourth Proportional to 765.18, 1,147.12 and 394.57

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Solution

The fourth proportional to 765.18, 1,147.12 and 394.57 is: 591.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.18 : 1,147.12 = 394.57 : x
  2. Step 2: Convert to fraction form
    765.18/1,147.12 = 394.57/x
  3. Step 3: Cross multiply
    765.18x = 1,147.12 × 394.57
  4. Step 4: Simplify right side
    765.18x = 452,619.14
  5. Step 5: Solve for x
    x = 452,619.14/765.18
  6. Step 6: Final answer
    x = 591.52

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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.