Home / 1,232.76-1,849.29-502.14

Finding the Fourth Proportional to 1,232.76, 1,849.29 and 502.14

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Solution

The fourth proportional to 1,232.76, 1,849.29 and 502.14 is: 753.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.76 : 1,849.29 = 502.14 : x
  2. Step 2: Convert to fraction form
    1,232.76/1,849.29 = 502.14/x
  3. Step 3: Cross multiply
    1,232.76x = 1,849.29 × 502.14
  4. Step 4: Simplify right side
    1,232.76x = 928,602.48
  5. Step 5: Solve for x
    x = 928,602.48/1,232.76
  6. Step 6: Final answer
    x = 753.27

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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.