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Finding the Fourth Proportional to 1,178.49, 1,766.07 and 867.91

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Solution

The fourth proportional to 1,178.49, 1,766.07 and 867.91 is: 1,300.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.49 : 1,766.07 = 867.91 : x
  2. Step 2: Convert to fraction form
    1,178.49/1,766.07 = 867.91/x
  3. Step 3: Cross multiply
    1,178.49x = 1,766.07 × 867.91
  4. Step 4: Simplify right side
    1,178.49x = 1,532,776.64
  5. Step 5: Solve for x
    x = 1,532,776.64/1,178.49
  6. Step 6: Final answer
    x = 1,300.63

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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.