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Finding the Fourth Proportional to 1,283.24, 1,924.82 and 871.34

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Solution

The fourth proportional to 1,283.24, 1,924.82 and 871.34 is: 1,306.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.24 : 1,924.82 = 871.34 : x
  2. Step 2: Convert to fraction form
    1,283.24/1,924.82 = 871.34/x
  3. Step 3: Cross multiply
    1,283.24x = 1,924.82 × 871.34
  4. Step 4: Simplify right side
    1,283.24x = 1,677,172.66
  5. Step 5: Solve for x
    x = 1,677,172.66/1,283.24
  6. Step 6: Final answer
    x = 1,306.98

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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.