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Finding the Fourth Proportional to 735.76, 1,102.14 and 613.62

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Solution

The fourth proportional to 735.76, 1,102.14 and 613.62 is: 919.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.76 : 1,102.14 = 613.62 : x
  2. Step 2: Convert to fraction form
    735.76/1,102.14 = 613.62/x
  3. Step 3: Cross multiply
    735.76x = 1,102.14 × 613.62
  4. Step 4: Simplify right side
    735.76x = 676,295.15
  5. Step 5: Solve for x
    x = 676,295.15/735.76
  6. Step 6: Final answer
    x = 919.18

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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.