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Finding the Fourth Proportional to 876.24, 1,315.44 and 830.88

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Solution

The fourth proportional to 876.24, 1,315.44 and 830.88 is: 1,247.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.24 : 1,315.44 = 830.88 : x
  2. Step 2: Convert to fraction form
    876.24/1,315.44 = 830.88/x
  3. Step 3: Cross multiply
    876.24x = 1,315.44 × 830.88
  4. Step 4: Simplify right side
    876.24x = 1,092,972.79
  5. Step 5: Solve for x
    x = 1,092,972.79/876.24
  6. Step 6: Final answer
    x = 1,247.34

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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.