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Finding the Fourth Proportional to 1,299.56, 1,793.80 and 906.72

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Solution

The fourth proportional to 1,299.56, 1,793.80 and 906.72 is: 1,251.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.56 : 1,793.80 = 906.72 : x
  2. Step 2: Convert to fraction form
    1,299.56/1,793.80 = 906.72/x
  3. Step 3: Cross multiply
    1,299.56x = 1,793.80 × 906.72
  4. Step 4: Simplify right side
    1,299.56x = 1,626,474.34
  5. Step 5: Solve for x
    x = 1,626,474.34/1,299.56
  6. Step 6: Final answer
    x = 1,251.56

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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.