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Finding the Fourth Proportional to 1,178.28, 1,767.71 and 832.30

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Solution

The fourth proportional to 1,178.28, 1,767.71 and 832.30 is: 1,248.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.28 : 1,767.71 = 832.30 : x
  2. Step 2: Convert to fraction form
    1,178.28/1,767.71 = 832.30/x
  3. Step 3: Cross multiply
    1,178.28x = 1,767.71 × 832.30
  4. Step 4: Simplify right side
    1,178.28x = 1,471,262.69
  5. Step 5: Solve for x
    x = 1,471,262.69/1,178.28
  6. Step 6: Final answer
    x = 1,248.65

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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.