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Finding the Fourth Proportional to 735.80, 1,102.68 and 442.92

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Solution

The fourth proportional to 735.80, 1,102.68 and 442.92 is: 663.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.80 : 1,102.68 = 442.92 : x
  2. Step 2: Convert to fraction form
    735.80/1,102.68 = 442.92/x
  3. Step 3: Cross multiply
    735.80x = 1,102.68 × 442.92
  4. Step 4: Simplify right side
    735.80x = 488,399.03
  5. Step 5: Solve for x
    x = 488,399.03/735.80
  6. Step 6: Final answer
    x = 663.77

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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.