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Finding the Fourth Proportional to 1,202.51, 1,803.54 and 422.33

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Solution

The fourth proportional to 1,202.51, 1,803.54 and 422.33 is: 633.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.51 : 1,803.54 = 422.33 : x
  2. Step 2: Convert to fraction form
    1,202.51/1,803.54 = 422.33/x
  3. Step 3: Cross multiply
    1,202.51x = 1,803.54 × 422.33
  4. Step 4: Simplify right side
    1,202.51x = 761,690.18
  5. Step 5: Solve for x
    x = 761,690.18/1,202.51
  6. Step 6: Final answer
    x = 633.42

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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.