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Finding the Fourth Proportional to 765.14, 1,147 and 278.06

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Solution

The fourth proportional to 765.14, 1,147 and 278.06 is: 416.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.14 : 1,147 = 278.06 : x
  2. Step 2: Convert to fraction form
    765.14/1,147 = 278.06/x
  3. Step 3: Cross multiply
    765.14x = 1,147 × 278.06
  4. Step 4: Simplify right side
    765.14x = 318,934.82
  5. Step 5: Solve for x
    x = 318,934.82/765.14
  6. Step 6: Final answer
    x = 416.83

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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.