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Finding the Fourth Proportional to 677.98, 1,017.02 and 184.47

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Solution

The fourth proportional to 677.98, 1,017.02 and 184.47 is: 276.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.98 : 1,017.02 = 184.47 : x
  2. Step 2: Convert to fraction form
    677.98/1,017.02 = 184.47/x
  3. Step 3: Cross multiply
    677.98x = 1,017.02 × 184.47
  4. Step 4: Simplify right side
    677.98x = 187,609.68
  5. Step 5: Solve for x
    x = 187,609.68/677.98
  6. Step 6: Final answer
    x = 276.72

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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.