Home / 1,278.09-1,917.45-537.75

Finding the Fourth Proportional to 1,278.09, 1,917.45 and 537.75

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Solution

The fourth proportional to 1,278.09, 1,917.45 and 537.75 is: 806.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.09 : 1,917.45 = 537.75 : x
  2. Step 2: Convert to fraction form
    1,278.09/1,917.45 = 537.75/x
  3. Step 3: Cross multiply
    1,278.09x = 1,917.45 × 537.75
  4. Step 4: Simplify right side
    1,278.09x = 1,031,108.74
  5. Step 5: Solve for x
    x = 1,031,108.74/1,278.09
  6. Step 6: Final answer
    x = 806.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.