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Finding the Fourth Proportional to 937.44, 1,405.86 and 648

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Solution

The fourth proportional to 937.44, 1,405.86 and 648 is: 971.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.44 : 1,405.86 = 648 : x
  2. Step 2: Convert to fraction form
    937.44/1,405.86 = 648/x
  3. Step 3: Cross multiply
    937.44x = 1,405.86 × 648
  4. Step 4: Simplify right side
    937.44x = 910,997.28
  5. Step 5: Solve for x
    x = 910,997.28/937.44
  6. Step 6: Final answer
    x = 971.79

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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.