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Finding the Fourth Proportional to 1,092.42, 1,507.46 and 694.05

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Solution

The fourth proportional to 1,092.42, 1,507.46 and 694.05 is: 957.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.42 : 1,507.46 = 694.05 : x
  2. Step 2: Convert to fraction form
    1,092.42/1,507.46 = 694.05/x
  3. Step 3: Cross multiply
    1,092.42x = 1,507.46 × 694.05
  4. Step 4: Simplify right side
    1,092.42x = 1,046,249.14
  5. Step 5: Solve for x
    x = 1,046,249.14/1,092.42
  6. Step 6: Final answer
    x = 957.74

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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.