Home / 1,021.34-1,531.92-337.34

Finding the Fourth Proportional to 1,021.34, 1,531.92 and 337.34

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Solution

The fourth proportional to 1,021.34, 1,531.92 and 337.34 is: 505.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.34 : 1,531.92 = 337.34 : x
  2. Step 2: Convert to fraction form
    1,021.34/1,531.92 = 337.34/x
  3. Step 3: Cross multiply
    1,021.34x = 1,531.92 × 337.34
  4. Step 4: Simplify right side
    1,021.34x = 516,777.89
  5. Step 5: Solve for x
    x = 516,777.89/1,021.34
  6. Step 6: Final answer
    x = 505.98

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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.