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Finding the Fourth Proportional to 1,009.41, 1,394.00 and 801.78

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Solution

The fourth proportional to 1,009.41, 1,394.00 and 801.78 is: 1,107.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.41 : 1,394.00 = 801.78 : x
  2. Step 2: Convert to fraction form
    1,009.41/1,394.00 = 801.78/x
  3. Step 3: Cross multiply
    1,009.41x = 1,394.00 × 801.78
  4. Step 4: Simplify right side
    1,009.41x = 1,117,677.31
  5. Step 5: Solve for x
    x = 1,117,677.31/1,009.41
  6. Step 6: Final answer
    x = 1,107.26

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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.