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Finding the Fourth Proportional to 735.66, 1,102.14 and 410.04

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Solution

The fourth proportional to 735.66, 1,102.14 and 410.04 is: 614.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.66 : 1,102.14 = 410.04 : x
  2. Step 2: Convert to fraction form
    735.66/1,102.14 = 410.04/x
  3. Step 3: Cross multiply
    735.66x = 1,102.14 × 410.04
  4. Step 4: Simplify right side
    735.66x = 451,921.49
  5. Step 5: Solve for x
    x = 451,921.49/735.66
  6. Step 6: Final answer
    x = 614.31

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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.