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Finding the Fourth Proportional to 1,143.97, 1,715.96 and 278.29

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Solution

The fourth proportional to 1,143.97, 1,715.96 and 278.29 is: 417.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.97 : 1,715.96 = 278.29 : x
  2. Step 2: Convert to fraction form
    1,143.97/1,715.96 = 278.29/x
  3. Step 3: Cross multiply
    1,143.97x = 1,715.96 × 278.29
  4. Step 4: Simplify right side
    1,143.97x = 477,526.62
  5. Step 5: Solve for x
    x = 477,526.62/1,143.97
  6. Step 6: Final answer
    x = 417.43

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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.