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Finding the Fourth Proportional to 937.35, 1,402.65 and 677.64

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Solution

The fourth proportional to 937.35, 1,402.65 and 677.64 is: 1,014.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.35 : 1,402.65 = 677.64 : x
  2. Step 2: Convert to fraction form
    937.35/1,402.65 = 677.64/x
  3. Step 3: Cross multiply
    937.35x = 1,402.65 × 677.64
  4. Step 4: Simplify right side
    937.35x = 950,491.75
  5. Step 5: Solve for x
    x = 950,491.75/937.35
  6. Step 6: Final answer
    x = 1,014.02

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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.