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Finding the Fourth Proportional to 1,122.30, 1,548.15 and 656.22

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Solution

The fourth proportional to 1,122.30, 1,548.15 and 656.22 is: 905.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.30 : 1,548.15 = 656.22 : x
  2. Step 2: Convert to fraction form
    1,122.30/1,548.15 = 656.22/x
  3. Step 3: Cross multiply
    1,122.30x = 1,548.15 × 656.22
  4. Step 4: Simplify right side
    1,122.30x = 1,015,926.99
  5. Step 5: Solve for x
    x = 1,015,926.99/1,122.30
  6. Step 6: Final answer
    x = 905.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.