Home / 1,020.97-1,531.23-290.53

Finding the Fourth Proportional to 1,020.97, 1,531.23 and 290.53

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Solution

The fourth proportional to 1,020.97, 1,531.23 and 290.53 is: 435.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.97 : 1,531.23 = 290.53 : x
  2. Step 2: Convert to fraction form
    1,020.97/1,531.23 = 290.53/x
  3. Step 3: Cross multiply
    1,020.97x = 1,531.23 × 290.53
  4. Step 4: Simplify right side
    1,020.97x = 444,868.25
  5. Step 5: Solve for x
    x = 444,868.25/1,020.97
  6. Step 6: Final answer
    x = 435.73

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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.