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Finding the Fourth Proportional to 1,122.52, 1,684.99 and 851.57

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Solution

The fourth proportional to 1,122.52, 1,684.99 and 851.57 is: 1,278.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.52 : 1,684.99 = 851.57 : x
  2. Step 2: Convert to fraction form
    1,122.52/1,684.99 = 851.57/x
  3. Step 3: Cross multiply
    1,122.52x = 1,684.99 × 851.57
  4. Step 4: Simplify right side
    1,122.52x = 1,434,886.93
  5. Step 5: Solve for x
    x = 1,434,886.93/1,122.52
  6. Step 6: Final answer
    x = 1,278.27

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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.