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Finding the Fourth Proportional to 1,278.72, 1,764.27 and 983.46

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Solution

The fourth proportional to 1,278.72, 1,764.27 and 983.46 is: 1,356.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.72 : 1,764.27 = 983.46 : x
  2. Step 2: Convert to fraction form
    1,278.72/1,764.27 = 983.46/x
  3. Step 3: Cross multiply
    1,278.72x = 1,764.27 × 983.46
  4. Step 4: Simplify right side
    1,278.72x = 1,735,088.97
  5. Step 5: Solve for x
    x = 1,735,088.97/1,278.72
  6. Step 6: Final answer
    x = 1,356.90

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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.