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Finding the Fourth Proportional to 1,429.63, 1,972.75 and 800.12

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Solution

The fourth proportional to 1,429.63, 1,972.75 and 800.12 is: 1,104.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.63 : 1,972.75 = 800.12 : x
  2. Step 2: Convert to fraction form
    1,429.63/1,972.75 = 800.12/x
  3. Step 3: Cross multiply
    1,429.63x = 1,972.75 × 800.12
  4. Step 4: Simplify right side
    1,429.63x = 1,578,436.73
  5. Step 5: Solve for x
    x = 1,578,436.73/1,429.63
  6. Step 6: Final answer
    x = 1,104.09

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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.