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Finding the Fourth Proportional to 743.48, 1,115.22 and 635.48

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Solution

The fourth proportional to 743.48, 1,115.22 and 635.48 is: 953.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.48 : 1,115.22 = 635.48 : x
  2. Step 2: Convert to fraction form
    743.48/1,115.22 = 635.48/x
  3. Step 3: Cross multiply
    743.48x = 1,115.22 × 635.48
  4. Step 4: Simplify right side
    743.48x = 708,700.01
  5. Step 5: Solve for x
    x = 708,700.01/743.48
  6. Step 6: Final answer
    x = 953.22

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