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Finding the Fourth Proportional to 803.13, 1,197.66 and 795.84

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Solution

The fourth proportional to 803.13, 1,197.66 and 795.84 is: 1,186.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.13 : 1,197.66 = 795.84 : x
  2. Step 2: Convert to fraction form
    803.13/1,197.66 = 795.84/x
  3. Step 3: Cross multiply
    803.13x = 1,197.66 × 795.84
  4. Step 4: Simplify right side
    803.13x = 953,145.73
  5. Step 5: Solve for x
    x = 953,145.73/803.13
  6. Step 6: Final answer
    x = 1,186.79

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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.