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Finding the Fourth Proportional to 735.42, 1,101.98 and 552.62

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Solution

The fourth proportional to 735.42, 1,101.98 and 552.62 is: 828.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.42 : 1,101.98 = 552.62 : x
  2. Step 2: Convert to fraction form
    735.42/1,101.98 = 552.62/x
  3. Step 3: Cross multiply
    735.42x = 1,101.98 × 552.62
  4. Step 4: Simplify right side
    735.42x = 608,976.19
  5. Step 5: Solve for x
    x = 608,976.19/735.42
  6. Step 6: Final answer
    x = 828.07

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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.