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Finding the Fourth Proportional to 1,278.13, 1,916.17 and 661.92

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Solution

The fourth proportional to 1,278.13, 1,916.17 and 661.92 is: 992.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.13 : 1,916.17 = 661.92 : x
  2. Step 2: Convert to fraction form
    1,278.13/1,916.17 = 661.92/x
  3. Step 3: Cross multiply
    1,278.13x = 1,916.17 × 661.92
  4. Step 4: Simplify right side
    1,278.13x = 1,268,351.25
  5. Step 5: Solve for x
    x = 1,268,351.25/1,278.13
  6. Step 6: Final answer
    x = 992.35

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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.