Home / 1,042.18-1,563.27-716.56

Finding the Fourth Proportional to 1,042.18, 1,563.27 and 716.56

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Solution

The fourth proportional to 1,042.18, 1,563.27 and 716.56 is: 1,074.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.18 : 1,563.27 = 716.56 : x
  2. Step 2: Convert to fraction form
    1,042.18/1,563.27 = 716.56/x
  3. Step 3: Cross multiply
    1,042.18x = 1,563.27 × 716.56
  4. Step 4: Simplify right side
    1,042.18x = 1,120,176.75
  5. Step 5: Solve for x
    x = 1,120,176.75/1,042.18
  6. Step 6: Final answer
    x = 1,074.84

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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.