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Finding the Fourth Proportional to 984.03, 1,357.91 and 541.92

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Solution

The fourth proportional to 984.03, 1,357.91 and 541.92 is: 747.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.03 : 1,357.91 = 541.92 : x
  2. Step 2: Convert to fraction form
    984.03/1,357.91 = 541.92/x
  3. Step 3: Cross multiply
    984.03x = 1,357.91 × 541.92
  4. Step 4: Simplify right side
    984.03x = 735,878.59
  5. Step 5: Solve for x
    x = 735,878.59/984.03
  6. Step 6: Final answer
    x = 747.82

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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.