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Finding the Fourth Proportional to 944.48, 1,415.46 and 635.84

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Solution

The fourth proportional to 944.48, 1,415.46 and 635.84 is: 952.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.48 : 1,415.46 = 635.84 : x
  2. Step 2: Convert to fraction form
    944.48/1,415.46 = 635.84/x
  3. Step 3: Cross multiply
    944.48x = 1,415.46 × 635.84
  4. Step 4: Simplify right side
    944.48x = 900,006.09
  5. Step 5: Solve for x
    x = 900,006.09/944.48
  6. Step 6: Final answer
    x = 952.91

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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.