Home / 1,042.26-1,563.40-272.76

Finding the Fourth Proportional to 1,042.26, 1,563.40 and 272.76

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Solution

The fourth proportional to 1,042.26, 1,563.40 and 272.76 is: 409.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.26 : 1,563.40 = 272.76 : x
  2. Step 2: Convert to fraction form
    1,042.26/1,563.40 = 272.76/x
  3. Step 3: Cross multiply
    1,042.26x = 1,563.40 × 272.76
  4. Step 4: Simplify right side
    1,042.26x = 426,432.98
  5. Step 5: Solve for x
    x = 426,432.98/1,042.26
  6. Step 6: Final answer
    x = 409.14

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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.