Home / 1,028.18-1,542.27-297.76

Finding the Fourth Proportional to 1,028.18, 1,542.27 and 297.76

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Solution

The fourth proportional to 1,028.18, 1,542.27 and 297.76 is: 446.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.18 : 1,542.27 = 297.76 : x
  2. Step 2: Convert to fraction form
    1,028.18/1,542.27 = 297.76/x
  3. Step 3: Cross multiply
    1,028.18x = 1,542.27 × 297.76
  4. Step 4: Simplify right side
    1,028.18x = 459,222.46
  5. Step 5: Solve for x
    x = 459,222.46/1,028.18
  6. Step 6: Final answer
    x = 446.64

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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.