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Finding the Fourth Proportional to 765.41, 1,148.05 and 278.57

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Solution

The fourth proportional to 765.41, 1,148.05 and 278.57 is: 417.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.41 : 1,148.05 = 278.57 : x
  2. Step 2: Convert to fraction form
    765.41/1,148.05 = 278.57/x
  3. Step 3: Cross multiply
    765.41x = 1,148.05 × 278.57
  4. Step 4: Simplify right side
    765.41x = 319,805.85
  5. Step 5: Solve for x
    x = 319,805.85/765.41
  6. Step 6: Final answer
    x = 417.83

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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.