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Finding the Fourth Proportional to 735.52, 1,101.44 and 562.32

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Solution

The fourth proportional to 735.52, 1,101.44 and 562.32 is: 842.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.52 : 1,101.44 = 562.32 : x
  2. Step 2: Convert to fraction form
    735.52/1,101.44 = 562.32/x
  3. Step 3: Cross multiply
    735.52x = 1,101.44 × 562.32
  4. Step 4: Simplify right side
    735.52x = 619,361.74
  5. Step 5: Solve for x
    x = 619,361.74/735.52
  6. Step 6: Final answer
    x = 842.07

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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.