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Finding the Fourth Proportional to 735.38, 1,102.68 and 442.61

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Solution

The fourth proportional to 735.38, 1,102.68 and 442.61 is: 663.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.38 : 1,102.68 = 442.61 : x
  2. Step 2: Convert to fraction form
    735.38/1,102.68 = 442.61/x
  3. Step 3: Cross multiply
    735.38x = 1,102.68 × 442.61
  4. Step 4: Simplify right side
    735.38x = 488,051.68
  5. Step 5: Solve for x
    x = 488,051.68/735.38
  6. Step 6: Final answer
    x = 663.68

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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.