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Finding the Fourth Proportional to 1,092.33, 1,508.63 and 846.62

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Solution

The fourth proportional to 1,092.33, 1,508.63 and 846.62 is: 1,169.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.33 : 1,508.63 = 846.62 : x
  2. Step 2: Convert to fraction form
    1,092.33/1,508.63 = 846.62/x
  3. Step 3: Cross multiply
    1,092.33x = 1,508.63 × 846.62
  4. Step 4: Simplify right side
    1,092.33x = 1,277,228.79
  5. Step 5: Solve for x
    x = 1,277,228.79/1,092.33
  6. Step 6: Final answer
    x = 1,169.28

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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.