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Finding the Fourth Proportional to 798.71, 1,197.83 and 278.57

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Solution

The fourth proportional to 798.71, 1,197.83 and 278.57 is: 417.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.71 : 1,197.83 = 278.57 : x
  2. Step 2: Convert to fraction form
    798.71/1,197.83 = 278.57/x
  3. Step 3: Cross multiply
    798.71x = 1,197.83 × 278.57
  4. Step 4: Simplify right side
    798.71x = 333,683.19
  5. Step 5: Solve for x
    x = 333,683.19/798.71
  6. Step 6: Final answer
    x = 417.78

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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.