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Finding the Fourth Proportional to 718.93, 1,078.41 and 231.98

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Solution

The fourth proportional to 718.93, 1,078.41 and 231.98 is: 347.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.93 : 1,078.41 = 231.98 : x
  2. Step 2: Convert to fraction form
    718.93/1,078.41 = 231.98/x
  3. Step 3: Cross multiply
    718.93x = 1,078.41 × 231.98
  4. Step 4: Simplify right side
    718.93x = 250,169.55
  5. Step 5: Solve for x
    x = 250,169.55/718.93
  6. Step 6: Final answer
    x = 347.98

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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.