Home / 1,028.21-1,542.33-412.20

Finding the Fourth Proportional to 1,028.21, 1,542.33 and 412.20

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Solution

The fourth proportional to 1,028.21, 1,542.33 and 412.20 is: 618.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.21 : 1,542.33 = 412.20 : x
  2. Step 2: Convert to fraction form
    1,028.21/1,542.33 = 412.20/x
  3. Step 3: Cross multiply
    1,028.21x = 1,542.33 × 412.20
  4. Step 4: Simplify right side
    1,028.21x = 635,748.43
  5. Step 5: Solve for x
    x = 635,748.43/1,028.21
  6. Step 6: Final answer
    x = 618.31

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Half scale
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Double scale
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Similar ratio
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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.