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Finding the Fourth Proportional to 1,278.22, 1,916.35 and 661.53

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Solution

The fourth proportional to 1,278.22, 1,916.35 and 661.53 is: 991.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.22 : 1,916.35 = 661.53 : x
  2. Step 2: Convert to fraction form
    1,278.22/1,916.35 = 661.53/x
  3. Step 3: Cross multiply
    1,278.22x = 1,916.35 × 661.53
  4. Step 4: Simplify right side
    1,278.22x = 1,267,723.02
  5. Step 5: Solve for x
    x = 1,267,723.02/1,278.22
  6. Step 6: Final answer
    x = 991.79

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1.5x scale

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.