Home / 1,028.06-1,541.90-297.44

Finding the Fourth Proportional to 1,028.06, 1,541.90 and 297.44

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Solution

The fourth proportional to 1,028.06, 1,541.90 and 297.44 is: 446.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.06 : 1,541.90 = 297.44 : x
  2. Step 2: Convert to fraction form
    1,028.06/1,541.90 = 297.44/x
  3. Step 3: Cross multiply
    1,028.06x = 1,541.90 × 297.44
  4. Step 4: Simplify right side
    1,028.06x = 458,613.54
  5. Step 5: Solve for x
    x = 458,613.54/1,028.06
  6. Step 6: Final answer
    x = 446.10

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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.