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Finding the Fourth Proportional to 1,014.54, 1,399.92 and 641.61

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Solution

The fourth proportional to 1,014.54, 1,399.92 and 641.61 is: 885.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.54 : 1,399.92 = 641.61 : x
  2. Step 2: Convert to fraction form
    1,014.54/1,399.92 = 641.61/x
  3. Step 3: Cross multiply
    1,014.54x = 1,399.92 × 641.61
  4. Step 4: Simplify right side
    1,014.54x = 898,202.67
  5. Step 5: Solve for x
    x = 898,202.67/1,014.54
  6. Step 6: Final answer
    x = 885.33

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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.