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Finding the Fourth Proportional to 800.46, 1,199.15 and 470.58

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Solution

The fourth proportional to 800.46, 1,199.15 and 470.58 is: 704.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.46 : 1,199.15 = 470.58 : x
  2. Step 2: Convert to fraction form
    800.46/1,199.15 = 470.58/x
  3. Step 3: Cross multiply
    800.46x = 1,199.15 × 470.58
  4. Step 4: Simplify right side
    800.46x = 564,296.01
  5. Step 5: Solve for x
    x = 564,296.01/800.46
  6. Step 6: Final answer
    x = 704.96

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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.