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Finding the Fourth Proportional to 883.80, 1,322.02 and 803.61

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Solution

The fourth proportional to 883.80, 1,322.02 and 803.61 is: 1,202.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.80 : 1,322.02 = 803.61 : x
  2. Step 2: Convert to fraction form
    883.80/1,322.02 = 803.61/x
  3. Step 3: Cross multiply
    883.80x = 1,322.02 × 803.61
  4. Step 4: Simplify right side
    883.80x = 1,062,388.49
  5. Step 5: Solve for x
    x = 1,062,388.49/883.80
  6. Step 6: Final answer
    x = 1,202.07

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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.