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Finding the Fourth Proportional to 765.21, 1,147.82 and 278.61

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Solution

The fourth proportional to 765.21, 1,147.82 and 278.61 is: 417.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.21 : 1,147.82 = 278.61 : x
  2. Step 2: Convert to fraction form
    765.21/1,147.82 = 278.61/x
  3. Step 3: Cross multiply
    765.21x = 1,147.82 × 278.61
  4. Step 4: Simplify right side
    765.21x = 319,792.74
  5. Step 5: Solve for x
    x = 319,792.74/765.21
  6. Step 6: Final answer
    x = 417.92

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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.