Home / 1,024.25-1,535.15-579.96

Finding the Fourth Proportional to 1,024.25, 1,535.15 and 579.96

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Solution

The fourth proportional to 1,024.25, 1,535.15 and 579.96 is: 869.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.25 : 1,535.15 = 579.96 : x
  2. Step 2: Convert to fraction form
    1,024.25/1,535.15 = 579.96/x
  3. Step 3: Cross multiply
    1,024.25x = 1,535.15 × 579.96
  4. Step 4: Simplify right side
    1,024.25x = 890,327.04
  5. Step 5: Solve for x
    x = 890,327.04/1,024.25
  6. Step 6: Final answer
    x = 869.25

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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.