Home / 1,020.92-1,531.56-444.20

Finding the Fourth Proportional to 1,020.92, 1,531.56 and 444.20

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Solution

The fourth proportional to 1,020.92, 1,531.56 and 444.20 is: 666.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.92 : 1,531.56 = 444.20 : x
  2. Step 2: Convert to fraction form
    1,020.92/1,531.56 = 444.20/x
  3. Step 3: Cross multiply
    1,020.92x = 1,531.56 × 444.20
  4. Step 4: Simplify right side
    1,020.92x = 680,318.95
  5. Step 5: Solve for x
    x = 680,318.95/1,020.92
  6. Step 6: Final answer
    x = 666.38

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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.