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Finding the Fourth Proportional to 983.91, 1,357.81 and 541.82

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Solution

The fourth proportional to 983.91, 1,357.81 and 541.82 is: 747.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.91 : 1,357.81 = 541.82 : x
  2. Step 2: Convert to fraction form
    983.91/1,357.81 = 541.82/x
  3. Step 3: Cross multiply
    983.91x = 1,357.81 × 541.82
  4. Step 4: Simplify right side
    983.91x = 735,688.61
  5. Step 5: Solve for x
    x = 735,688.61/983.91
  6. Step 6: Final answer
    x = 747.72

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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.