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Finding the Fourth Proportional to 798.75, 1,194.89 and 578.03

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Solution

The fourth proportional to 798.75, 1,194.89 and 578.03 is: 864.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.75 : 1,194.89 = 578.03 : x
  2. Step 2: Convert to fraction form
    798.75/1,194.89 = 578.03/x
  3. Step 3: Cross multiply
    798.75x = 1,194.89 × 578.03
  4. Step 4: Simplify right side
    798.75x = 690,673.40
  5. Step 5: Solve for x
    x = 690,673.40/798.75
  6. Step 6: Final answer
    x = 864.69

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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.