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Finding the Fourth Proportional to 1,473.50, 2,033.46 and 810.33

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Solution

The fourth proportional to 1,473.50, 2,033.46 and 810.33 is: 1,118.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.50 : 2,033.46 = 810.33 : x
  2. Step 2: Convert to fraction form
    1,473.50/2,033.46 = 810.33/x
  3. Step 3: Cross multiply
    1,473.50x = 2,033.46 × 810.33
  4. Step 4: Simplify right side
    1,473.50x = 1,647,773.64
  5. Step 5: Solve for x
    x = 1,647,773.64/1,473.50
  6. Step 6: Final answer
    x = 1,118.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.