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Finding the Fourth Proportional to 1,278.62, 1,762.71 and 1,081.34

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Solution

The fourth proportional to 1,278.62, 1,762.71 and 1,081.34 is: 1,490.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.62 : 1,762.71 = 1,081.34 : x
  2. Step 2: Convert to fraction form
    1,278.62/1,762.71 = 1,081.34/x
  3. Step 3: Cross multiply
    1,278.62x = 1,762.71 × 1,081.34
  4. Step 4: Simplify right side
    1,278.62x = 1,906,088.83
  5. Step 5: Solve for x
    x = 1,906,088.83/1,278.62
  6. Step 6: Final answer
    x = 1,490.74

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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.