Home / 1,021.11-1,531.85-327.95

Finding the Fourth Proportional to 1,021.11, 1,531.85 and 327.95

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Solution

The fourth proportional to 1,021.11, 1,531.85 and 327.95 is: 491.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.11 : 1,531.85 = 327.95 : x
  2. Step 2: Convert to fraction form
    1,021.11/1,531.85 = 327.95/x
  3. Step 3: Cross multiply
    1,021.11x = 1,531.85 × 327.95
  4. Step 4: Simplify right side
    1,021.11x = 502,370.21
  5. Step 5: Solve for x
    x = 502,370.21/1,021.11
  6. Step 6: Final answer
    x = 491.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.