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Finding the Fourth Proportional to 983.96, 1,357.82 and 541.78

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Solution

The fourth proportional to 983.96, 1,357.82 and 541.78 is: 747.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.96 : 1,357.82 = 541.78 : x
  2. Step 2: Convert to fraction form
    983.96/1,357.82 = 541.78/x
  3. Step 3: Cross multiply
    983.96x = 1,357.82 × 541.78
  4. Step 4: Simplify right side
    983.96x = 735,633.62
  5. Step 5: Solve for x
    x = 735,633.62/983.96
  6. Step 6: Final answer
    x = 747.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.