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Finding the Fourth Proportional to 734.96, 1,102.56 and 448.16

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Solution

The fourth proportional to 734.96, 1,102.56 and 448.16 is: 672.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.96 : 1,102.56 = 448.16 : x
  2. Step 2: Convert to fraction form
    734.96/1,102.56 = 448.16/x
  3. Step 3: Cross multiply
    734.96x = 1,102.56 × 448.16
  4. Step 4: Simplify right side
    734.96x = 494,117.78
  5. Step 5: Solve for x
    x = 494,117.78/734.96
  6. Step 6: Final answer
    x = 672.31

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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.