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Finding the Fourth Proportional to 798.62, 1,196.61 and 278.35

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Solution

The fourth proportional to 798.62, 1,196.61 and 278.35 is: 417.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.62 : 1,196.61 = 278.35 : x
  2. Step 2: Convert to fraction form
    798.62/1,196.61 = 278.35/x
  3. Step 3: Cross multiply
    798.62x = 1,196.61 × 278.35
  4. Step 4: Simplify right side
    798.62x = 333,076.39
  5. Step 5: Solve for x
    x = 333,076.39/798.62
  6. Step 6: Final answer
    x = 417.06

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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.