Home / 1,042.34-1,563.53-272.84

Finding the Fourth Proportional to 1,042.34, 1,563.53 and 272.84

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Solution

The fourth proportional to 1,042.34, 1,563.53 and 272.84 is: 409.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.34 : 1,563.53 = 272.84 : x
  2. Step 2: Convert to fraction form
    1,042.34/1,563.53 = 272.84/x
  3. Step 3: Cross multiply
    1,042.34x = 1,563.53 × 272.84
  4. Step 4: Simplify right side
    1,042.34x = 426,593.53
  5. Step 5: Solve for x
    x = 426,593.53/1,042.34
  6. Step 6: Final answer
    x = 409.27

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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.