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Finding the Fourth Proportional to 863.98, 1,193.08 and 554.02

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Solution

The fourth proportional to 863.98, 1,193.08 and 554.02 is: 765.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.98 : 1,193.08 = 554.02 : x
  2. Step 2: Convert to fraction form
    863.98/1,193.08 = 554.02/x
  3. Step 3: Cross multiply
    863.98x = 1,193.08 × 554.02
  4. Step 4: Simplify right side
    863.98x = 660,990.18
  5. Step 5: Solve for x
    x = 660,990.18/863.98
  6. Step 6: Final answer
    x = 765.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.