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Finding the Fourth Proportional to 1,473.29, 2,033.12 and 801.08

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Solution

The fourth proportional to 1,473.29, 2,033.12 and 801.08 is: 1,105.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.29 : 2,033.12 = 801.08 : x
  2. Step 2: Convert to fraction form
    1,473.29/2,033.12 = 801.08/x
  3. Step 3: Cross multiply
    1,473.29x = 2,033.12 × 801.08
  4. Step 4: Simplify right side
    1,473.29x = 1,628,691.77
  5. Step 5: Solve for x
    x = 1,628,691.77/1,473.29
  6. Step 6: Final answer
    x = 1,105.48

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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.