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Finding the Fourth Proportional to 1,331.20, 1,995.54 and 465.28

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Solution

The fourth proportional to 1,331.20, 1,995.54 and 465.28 is: 697.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.20 : 1,995.54 = 465.28 : x
  2. Step 2: Convert to fraction form
    1,331.20/1,995.54 = 465.28/x
  3. Step 3: Cross multiply
    1,331.20x = 1,995.54 × 465.28
  4. Step 4: Simplify right side
    1,331.20x = 928,484.85
  5. Step 5: Solve for x
    x = 928,484.85/1,331.20
  6. Step 6: Final answer
    x = 697.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.