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Finding the Fourth Proportional to 735.42, 1,107.44 and 531.40

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Solution

The fourth proportional to 735.42, 1,107.44 and 531.40 is: 800.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.42 : 1,107.44 = 531.40 : x
  2. Step 2: Convert to fraction form
    735.42/1,107.44 = 531.40/x
  3. Step 3: Cross multiply
    735.42x = 1,107.44 × 531.40
  4. Step 4: Simplify right side
    735.42x = 588,490.96
  5. Step 5: Solve for x
    x = 588,490.96/735.42
  6. Step 6: Final answer
    x = 800.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.