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Finding the Fourth Proportional to 765, 1,147.64 and 278.08

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Solution

The fourth proportional to 765, 1,147.64 and 278.08 is: 417.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    765 : 1,147.64 = 278.08 : x
  2. Step 2: Convert to fraction form
    765/1,147.64 = 278.08/x
  3. Step 3: Cross multiply
    765x = 1,147.64 × 278.08
  4. Step 4: Simplify right side
    765x = 319,135.73
  5. Step 5: Solve for x
    x = 319,135.73/765
  6. Step 6: Final answer
    x = 417.17

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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.