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Finding the Fourth Proportional to 1,028.26, 1,542.54 and 378.94

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Solution

The fourth proportional to 1,028.26, 1,542.54 and 378.94 is: 568.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.26 : 1,542.54 = 378.94 : x
  2. Step 2: Convert to fraction form
    1,028.26/1,542.54 = 378.94/x
  3. Step 3: Cross multiply
    1,028.26x = 1,542.54 × 378.94
  4. Step 4: Simplify right side
    1,028.26x = 584,530.11
  5. Step 5: Solve for x
    x = 584,530.11/1,028.26
  6. Step 6: Final answer
    x = 568.47

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Double scale
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1.5x scale

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.