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Finding the Fourth Proportional to 798.18, 1,199.70 and 584.34

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Solution

The fourth proportional to 798.18, 1,199.70 and 584.34 is: 878.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.18 : 1,199.70 = 584.34 : x
  2. Step 2: Convert to fraction form
    798.18/1,199.70 = 584.34/x
  3. Step 3: Cross multiply
    798.18x = 1,199.70 × 584.34
  4. Step 4: Simplify right side
    798.18x = 701,032.70
  5. Step 5: Solve for x
    x = 701,032.70/798.18
  6. Step 6: Final answer
    x = 878.29

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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.