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Finding the Fourth Proportional to 1,112.87, 1,669.14 and 722.66

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Solution

The fourth proportional to 1,112.87, 1,669.14 and 722.66 is: 1,083.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.87 : 1,669.14 = 722.66 : x
  2. Step 2: Convert to fraction form
    1,112.87/1,669.14 = 722.66/x
  3. Step 3: Cross multiply
    1,112.87x = 1,669.14 × 722.66
  4. Step 4: Simplify right side
    1,112.87x = 1,206,212.37
  5. Step 5: Solve for x
    x = 1,206,212.37/1,112.87
  6. Step 6: Final answer
    x = 1,083.87

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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.