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Finding the Fourth Proportional to 765.48, 1,147.52 and 278.41

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Solution

The fourth proportional to 765.48, 1,147.52 and 278.41 is: 417.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.48 : 1,147.52 = 278.41 : x
  2. Step 2: Convert to fraction form
    765.48/1,147.52 = 278.41/x
  3. Step 3: Cross multiply
    765.48x = 1,147.52 × 278.41
  4. Step 4: Simplify right side
    765.48x = 319,482.68
  5. Step 5: Solve for x
    x = 319,482.68/765.48
  6. Step 6: Final answer
    x = 417.37

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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.