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Finding the Fourth Proportional to 1,141.33, 1,712.23 and 483.20

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Solution

The fourth proportional to 1,141.33, 1,712.23 and 483.20 is: 724.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.33 : 1,712.23 = 483.20 : x
  2. Step 2: Convert to fraction form
    1,141.33/1,712.23 = 483.20/x
  3. Step 3: Cross multiply
    1,141.33x = 1,712.23 × 483.20
  4. Step 4: Simplify right side
    1,141.33x = 827,355.82
  5. Step 5: Solve for x
    x = 827,355.82/1,141.33
  6. Step 6: Final answer
    x = 724.91

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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.