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Finding the Fourth Proportional to 1,092.07, 1,505.91 and 1,006.61

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Solution

The fourth proportional to 1,092.07, 1,505.91 and 1,006.61 is: 1,388.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.07 : 1,505.91 = 1,006.61 : x
  2. Step 2: Convert to fraction form
    1,092.07/1,505.91 = 1,006.61/x
  3. Step 3: Cross multiply
    1,092.07x = 1,505.91 × 1,006.61
  4. Step 4: Simplify right side
    1,092.07x = 1,515,864.07
  5. Step 5: Solve for x
    x = 1,515,864.07/1,092.07
  6. Step 6: Final answer
    x = 1,388.06

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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.