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Finding the Fourth Proportional to 1,049.70, 1,448.70 and 656.94

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Solution

The fourth proportional to 1,049.70, 1,448.70 and 656.94 is: 906.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.70 : 1,448.70 = 656.94 : x
  2. Step 2: Convert to fraction form
    1,049.70/1,448.70 = 656.94/x
  3. Step 3: Cross multiply
    1,049.70x = 1,448.70 × 656.94
  4. Step 4: Simplify right side
    1,049.70x = 951,708.98
  5. Step 5: Solve for x
    x = 951,708.98/1,049.70
  6. Step 6: Final answer
    x = 906.65

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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.