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Finding the Fourth Proportional to 803.55, 1,198.55 and 732.81

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Solution

The fourth proportional to 803.55, 1,198.55 and 732.81 is: 1,093.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.55 : 1,198.55 = 732.81 : x
  2. Step 2: Convert to fraction form
    803.55/1,198.55 = 732.81/x
  3. Step 3: Cross multiply
    803.55x = 1,198.55 × 732.81
  4. Step 4: Simplify right side
    803.55x = 878,305.76
  5. Step 5: Solve for x
    x = 878,305.76/803.55
  6. Step 6: Final answer
    x = 1,093.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.