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Finding the Fourth Proportional to 734.72, 1,102.24 and 442.48

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Solution

The fourth proportional to 734.72, 1,102.24 and 442.48 is: 663.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.72 : 1,102.24 = 442.48 : x
  2. Step 2: Convert to fraction form
    734.72/1,102.24 = 442.48/x
  3. Step 3: Cross multiply
    734.72x = 1,102.24 × 442.48
  4. Step 4: Simplify right side
    734.72x = 487,719.16
  5. Step 5: Solve for x
    x = 487,719.16/734.72
  6. Step 6: Final answer
    x = 663.82

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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.