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Finding the Fourth Proportional to 765.26, 1,148.13 and 278.36

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Solution

The fourth proportional to 765.26, 1,148.13 and 278.36 is: 417.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.26 : 1,148.13 = 278.36 : x
  2. Step 2: Convert to fraction form
    765.26/1,148.13 = 278.36/x
  3. Step 3: Cross multiply
    765.26x = 1,148.13 × 278.36
  4. Step 4: Simplify right side
    765.26x = 319,587.73
  5. Step 5: Solve for x
    x = 319,587.73/765.26
  6. Step 6: Final answer
    x = 417.62

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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.