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Finding the Fourth Proportional to 798.72, 1,199.04 and 474.24

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Solution

The fourth proportional to 798.72, 1,199.04 and 474.24 is: 711.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.72 : 1,199.04 = 474.24 : x
  2. Step 2: Convert to fraction form
    798.72/1,199.04 = 474.24/x
  3. Step 3: Cross multiply
    798.72x = 1,199.04 × 474.24
  4. Step 4: Simplify right side
    798.72x = 568,632.73
  5. Step 5: Solve for x
    x = 568,632.73/798.72
  6. Step 6: Final answer
    x = 711.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.