Home / 1,028.14-1,541.40-451.42

Finding the Fourth Proportional to 1,028.14, 1,541.40 and 451.42

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Solution

The fourth proportional to 1,028.14, 1,541.40 and 451.42 is: 676.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.14 : 1,541.40 = 451.42 : x
  2. Step 2: Convert to fraction form
    1,028.14/1,541.40 = 451.42/x
  3. Step 3: Cross multiply
    1,028.14x = 1,541.40 × 451.42
  4. Step 4: Simplify right side
    1,028.14x = 695,818.79
  5. Step 5: Solve for x
    x = 695,818.79/1,028.14
  6. Step 6: Final answer
    x = 676.77

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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.