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Finding the Fourth Proportional to 983.50, 1,357.25 and 541.42

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Solution

The fourth proportional to 983.50, 1,357.25 and 541.42 is: 747.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.50 : 1,357.25 = 541.42 : x
  2. Step 2: Convert to fraction form
    983.50/1,357.25 = 541.42/x
  3. Step 3: Cross multiply
    983.50x = 1,357.25 × 541.42
  4. Step 4: Simplify right side
    983.50x = 734,842.30
  5. Step 5: Solve for x
    x = 734,842.30/983.50
  6. Step 6: Final answer
    x = 747.17

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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.