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Finding the Fourth Proportional to 1,092.06, 1,507.25 and 626.31

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Solution

The fourth proportional to 1,092.06, 1,507.25 and 626.31 is: 864.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.06 : 1,507.25 = 626.31 : x
  2. Step 2: Convert to fraction form
    1,092.06/1,507.25 = 626.31/x
  3. Step 3: Cross multiply
    1,092.06x = 1,507.25 × 626.31
  4. Step 4: Simplify right side
    1,092.06x = 944,005.75
  5. Step 5: Solve for x
    x = 944,005.75/1,092.06
  6. Step 6: Final answer
    x = 864.43

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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.