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Finding the Fourth Proportional to 937.17, 1,406.39 and 648.09

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Solution

The fourth proportional to 937.17, 1,406.39 and 648.09 is: 972.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.17 : 1,406.39 = 648.09 : x
  2. Step 2: Convert to fraction form
    937.17/1,406.39 = 648.09/x
  3. Step 3: Cross multiply
    937.17x = 1,406.39 × 648.09
  4. Step 4: Simplify right side
    937.17x = 911,464.05
  5. Step 5: Solve for x
    x = 911,464.05/937.17
  6. Step 6: Final answer
    x = 972.57

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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.