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Finding the Fourth Proportional to 735.10, 1,100.76 and 487.54

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Solution

The fourth proportional to 735.10, 1,100.76 and 487.54 is: 730.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.10 : 1,100.76 = 487.54 : x
  2. Step 2: Convert to fraction form
    735.10/1,100.76 = 487.54/x
  3. Step 3: Cross multiply
    735.10x = 1,100.76 × 487.54
  4. Step 4: Simplify right side
    735.10x = 536,664.53
  5. Step 5: Solve for x
    x = 536,664.53/735.10
  6. Step 6: Final answer
    x = 730.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.