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Finding the Fourth Proportional to 1,049.65, 1,572.41 and 959.43

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Solution

The fourth proportional to 1,049.65, 1,572.41 and 959.43 is: 1,437.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.65 : 1,572.41 = 959.43 : x
  2. Step 2: Convert to fraction form
    1,049.65/1,572.41 = 959.43/x
  3. Step 3: Cross multiply
    1,049.65x = 1,572.41 × 959.43
  4. Step 4: Simplify right side
    1,049.65x = 1,508,617.33
  5. Step 5: Solve for x
    x = 1,508,617.33/1,049.65
  6. Step 6: Final answer
    x = 1,437.26

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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.