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Finding the Fourth Proportional to 734.32, 1,102.92 and 650.80

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Solution

The fourth proportional to 734.32, 1,102.92 and 650.80 is: 977.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.32 : 1,102.92 = 650.80 : x
  2. Step 2: Convert to fraction form
    734.32/1,102.92 = 650.80/x
  3. Step 3: Cross multiply
    734.32x = 1,102.92 × 650.80
  4. Step 4: Simplify right side
    734.32x = 717,780.34
  5. Step 5: Solve for x
    x = 717,780.34/734.32
  6. Step 6: Final answer
    x = 977.48

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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.