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Finding the Fourth Proportional to 718.45, 1,077.53 and 198.31

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Solution

The fourth proportional to 718.45, 1,077.53 and 198.31 is: 297.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.45 : 1,077.53 = 198.31 : x
  2. Step 2: Convert to fraction form
    718.45/1,077.53 = 198.31/x
  3. Step 3: Cross multiply
    718.45x = 1,077.53 × 198.31
  4. Step 4: Simplify right side
    718.45x = 213,684.97
  5. Step 5: Solve for x
    x = 213,684.97/718.45
  6. Step 6: Final answer
    x = 297.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.