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Finding the Fourth Proportional to 1,028.53, 1,542.47 and 298.16

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Solution

The fourth proportional to 1,028.53, 1,542.47 and 298.16 is: 447.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.53 : 1,542.47 = 298.16 : x
  2. Step 2: Convert to fraction form
    1,028.53/1,542.47 = 298.16/x
  3. Step 3: Cross multiply
    1,028.53x = 1,542.47 × 298.16
  4. Step 4: Simplify right side
    1,028.53x = 459,895.14
  5. Step 5: Solve for x
    x = 459,895.14/1,028.53
  6. Step 6: Final answer
    x = 447.14

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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.