Home / 1,028.92-1,541.46-542.36

Finding the Fourth Proportional to 1,028.92, 1,541.46 and 542.36

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Solution

The fourth proportional to 1,028.92, 1,541.46 and 542.36 is: 812.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.92 : 1,541.46 = 542.36 : x
  2. Step 2: Convert to fraction form
    1,028.92/1,541.46 = 542.36/x
  3. Step 3: Cross multiply
    1,028.92x = 1,541.46 × 542.36
  4. Step 4: Simplify right side
    1,028.92x = 836,026.25
  5. Step 5: Solve for x
    x = 836,026.25/1,028.92
  6. Step 6: Final answer
    x = 812.53

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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.