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Finding the Fourth Proportional to 1,522.28, 2,283.42 and 871.63

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Solution

The fourth proportional to 1,522.28, 2,283.42 and 871.63 is: 1,307.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.28 : 2,283.42 = 871.63 : x
  2. Step 2: Convert to fraction form
    1,522.28/2,283.42 = 871.63/x
  3. Step 3: Cross multiply
    1,522.28x = 2,283.42 × 871.63
  4. Step 4: Simplify right side
    1,522.28x = 1,990,285.96
  5. Step 5: Solve for x
    x = 1,990,285.96/1,522.28
  6. Step 6: Final answer
    x = 1,307.44

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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.