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Finding the Fourth Proportional to 1,026.96, 1,542.26 and 845.65

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Solution

The fourth proportional to 1,026.96, 1,542.26 and 845.65 is: 1,269.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.96 : 1,542.26 = 845.65 : x
  2. Step 2: Convert to fraction form
    1,026.96/1,542.26 = 845.65/x
  3. Step 3: Cross multiply
    1,026.96x = 1,542.26 × 845.65
  4. Step 4: Simplify right side
    1,026.96x = 1,304,212.17
  5. Step 5: Solve for x
    x = 1,304,212.17/1,026.96
  6. Step 6: Final answer
    x = 1,269.97

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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.