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Finding the Fourth Proportional to 798.84, 1,200.42 and 474.30

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Solution

The fourth proportional to 798.84, 1,200.42 and 474.30 is: 712.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.84 : 1,200.42 = 474.30 : x
  2. Step 2: Convert to fraction form
    798.84/1,200.42 = 474.30/x
  3. Step 3: Cross multiply
    798.84x = 1,200.42 × 474.30
  4. Step 4: Simplify right side
    798.84x = 569,359.21
  5. Step 5: Solve for x
    x = 569,359.21/798.84
  6. Step 6: Final answer
    x = 712.73

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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.