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Finding the Fourth Proportional to 937.10, 1,293.12 and 544.11

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Solution

The fourth proportional to 937.10, 1,293.12 and 544.11 is: 750.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.10 : 1,293.12 = 544.11 : x
  2. Step 2: Convert to fraction form
    937.10/1,293.12 = 544.11/x
  3. Step 3: Cross multiply
    937.10x = 1,293.12 × 544.11
  4. Step 4: Simplify right side
    937.10x = 703,599.52
  5. Step 5: Solve for x
    x = 703,599.52/937.10
  6. Step 6: Final answer
    x = 750.83

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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.