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Finding the Fourth Proportional to 1,331.55, 1,997.33 and 465.25

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Solution

The fourth proportional to 1,331.55, 1,997.33 and 465.25 is: 697.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.55 : 1,997.33 = 465.25 : x
  2. Step 2: Convert to fraction form
    1,331.55/1,997.33 = 465.25/x
  3. Step 3: Cross multiply
    1,331.55x = 1,997.33 × 465.25
  4. Step 4: Simplify right side
    1,331.55x = 929,257.78
  5. Step 5: Solve for x
    x = 929,257.78/1,331.55
  6. Step 6: Final answer
    x = 697.88

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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.