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Finding the Fourth Proportional to 876.06, 1,206.90 and 726.12

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Solution

The fourth proportional to 876.06, 1,206.90 and 726.12 is: 1,000.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.06 : 1,206.90 = 726.12 : x
  2. Step 2: Convert to fraction form
    876.06/1,206.90 = 726.12/x
  3. Step 3: Cross multiply
    876.06x = 1,206.90 × 726.12
  4. Step 4: Simplify right side
    876.06x = 876,354.23
  5. Step 5: Solve for x
    x = 876,354.23/876.06
  6. Step 6: Final answer
    x = 1,000.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.