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Finding the Fourth Proportional to 1,355.41, 2,033.26 and 533.57

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Solution

The fourth proportional to 1,355.41, 2,033.26 and 533.57 is: 800.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.41 : 2,033.26 = 533.57 : x
  2. Step 2: Convert to fraction form
    1,355.41/2,033.26 = 533.57/x
  3. Step 3: Cross multiply
    1,355.41x = 2,033.26 × 533.57
  4. Step 4: Simplify right side
    1,355.41x = 1,084,886.54
  5. Step 5: Solve for x
    x = 1,084,886.54/1,355.41
  6. Step 6: Final answer
    x = 800.42

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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.