Home / 1,027.43-1,539.60-766.20

Finding the Fourth Proportional to 1,027.43, 1,539.60 and 766.20

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Solution

The fourth proportional to 1,027.43, 1,539.60 and 766.20 is: 1,148.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.43 : 1,539.60 = 766.20 : x
  2. Step 2: Convert to fraction form
    1,027.43/1,539.60 = 766.20/x
  3. Step 3: Cross multiply
    1,027.43x = 1,539.60 × 766.20
  4. Step 4: Simplify right side
    1,027.43x = 1,179,641.52
  5. Step 5: Solve for x
    x = 1,179,641.52/1,027.43
  6. Step 6: Final answer
    x = 1,148.15

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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.