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Finding the Fourth Proportional to 1,122.25, 1,548.81 and 656.59

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Solution

The fourth proportional to 1,122.25, 1,548.81 and 656.59 is: 906.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.25 : 1,548.81 = 656.59 : x
  2. Step 2: Convert to fraction form
    1,122.25/1,548.81 = 656.59/x
  3. Step 3: Cross multiply
    1,122.25x = 1,548.81 × 656.59
  4. Step 4: Simplify right side
    1,122.25x = 1,016,933.16
  5. Step 5: Solve for x
    x = 1,016,933.16/1,122.25
  6. Step 6: Final answer
    x = 906.16

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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.