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Finding the Fourth Proportional to 805.79, 1,199.04 and 803.06

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Solution

The fourth proportional to 805.79, 1,199.04 and 803.06 is: 1,194.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.79 : 1,199.04 = 803.06 : x
  2. Step 2: Convert to fraction form
    805.79/1,199.04 = 803.06/x
  3. Step 3: Cross multiply
    805.79x = 1,199.04 × 803.06
  4. Step 4: Simplify right side
    805.79x = 962,902.76
  5. Step 5: Solve for x
    x = 962,902.76/805.79
  6. Step 6: Final answer
    x = 1,194.97

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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.