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Finding the Fourth Proportional to 1,028.16, 1,542.48 and 378.96

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Solution

The fourth proportional to 1,028.16, 1,542.48 and 378.96 is: 568.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.16 : 1,542.48 = 378.96 : x
  2. Step 2: Convert to fraction form
    1,028.16/1,542.48 = 378.96/x
  3. Step 3: Cross multiply
    1,028.16x = 1,542.48 × 378.96
  4. Step 4: Simplify right side
    1,028.16x = 584,538.22
  5. Step 5: Solve for x
    x = 584,538.22/1,028.16
  6. Step 6: Final answer
    x = 568.53

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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.