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Finding the Fourth Proportional to 1,202.07, 1,656.39 and 922.29

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Solution

The fourth proportional to 1,202.07, 1,656.39 and 922.29 is: 1,270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.07 : 1,656.39 = 922.29 : x
  2. Step 2: Convert to fraction form
    1,202.07/1,656.39 = 922.29/x
  3. Step 3: Cross multiply
    1,202.07x = 1,656.39 × 922.29
  4. Step 4: Simplify right side
    1,202.07x = 1,527,671.93
  5. Step 5: Solve for x
    x = 1,527,671.93/1,202.07
  6. Step 6: Final answer
    x = 1,270.87

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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.