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Finding the Fourth Proportional to 1,009.91, 1,394.15 and 761.33

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Solution

The fourth proportional to 1,009.91, 1,394.15 and 761.33 is: 1,050.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.91 : 1,394.15 = 761.33 : x
  2. Step 2: Convert to fraction form
    1,009.91/1,394.15 = 761.33/x
  3. Step 3: Cross multiply
    1,009.91x = 1,394.15 × 761.33
  4. Step 4: Simplify right side
    1,009.91x = 1,061,397.44
  5. Step 5: Solve for x
    x = 1,061,397.44/1,009.91
  6. Step 6: Final answer
    x = 1,050.99

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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.