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Finding the Fourth Proportional to 937.14, 1,404.28 and 547.26

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Solution

The fourth proportional to 937.14, 1,404.28 and 547.26 is: 820.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.14 : 1,404.28 = 547.26 : x
  2. Step 2: Convert to fraction form
    937.14/1,404.28 = 547.26/x
  3. Step 3: Cross multiply
    937.14x = 1,404.28 × 547.26
  4. Step 4: Simplify right side
    937.14x = 768,506.27
  5. Step 5: Solve for x
    x = 768,506.27/937.14
  6. Step 6: Final answer
    x = 820.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.