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Finding the Fourth Proportional to 1,102.23, 1,652.54 and 614.61

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Solution

The fourth proportional to 1,102.23, 1,652.54 and 614.61 is: 921.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.23 : 1,652.54 = 614.61 : x
  2. Step 2: Convert to fraction form
    1,102.23/1,652.54 = 614.61/x
  3. Step 3: Cross multiply
    1,102.23x = 1,652.54 × 614.61
  4. Step 4: Simplify right side
    1,102.23x = 1,015,664.54
  5. Step 5: Solve for x
    x = 1,015,664.54/1,102.23
  6. Step 6: Final answer
    x = 921.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.