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Finding the Fourth Proportional to 799.66, 1,103.44 and 589.94

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Solution

The fourth proportional to 799.66, 1,103.44 and 589.94 is: 814.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.66 : 1,103.44 = 589.94 : x
  2. Step 2: Convert to fraction form
    799.66/1,103.44 = 589.94/x
  3. Step 3: Cross multiply
    799.66x = 1,103.44 × 589.94
  4. Step 4: Simplify right side
    799.66x = 650,967.85
  5. Step 5: Solve for x
    x = 650,967.85/799.66
  6. Step 6: Final answer
    x = 814.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.