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Finding the Fourth Proportional to 1,293.32, 1,941.11 and 677.46

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Solution

The fourth proportional to 1,293.32, 1,941.11 and 677.46 is: 1,016.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.32 : 1,941.11 = 677.46 : x
  2. Step 2: Convert to fraction form
    1,293.32/1,941.11 = 677.46/x
  3. Step 3: Cross multiply
    1,293.32x = 1,941.11 × 677.46
  4. Step 4: Simplify right side
    1,293.32x = 1,315,030.81
  5. Step 5: Solve for x
    x = 1,315,030.81/1,293.32
  6. Step 6: Final answer
    x = 1,016.78

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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.