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Finding the Fourth Proportional to 950.88, 1,309.59 and 882.84

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Solution

The fourth proportional to 950.88, 1,309.59 and 882.84 is: 1,215.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.88 : 1,309.59 = 882.84 : x
  2. Step 2: Convert to fraction form
    950.88/1,309.59 = 882.84/x
  3. Step 3: Cross multiply
    950.88x = 1,309.59 × 882.84
  4. Step 4: Simplify right side
    950.88x = 1,156,158.44
  5. Step 5: Solve for x
    x = 1,156,158.44/950.88
  6. Step 6: Final answer
    x = 1,215.88

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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.