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Finding the Fourth Proportional to 1,184.92, 1,777.17 and 362.97

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Solution

The fourth proportional to 1,184.92, 1,777.17 and 362.97 is: 544.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.92 : 1,777.17 = 362.97 : x
  2. Step 2: Convert to fraction form
    1,184.92/1,777.17 = 362.97/x
  3. Step 3: Cross multiply
    1,184.92x = 1,777.17 × 362.97
  4. Step 4: Simplify right side
    1,184.92x = 645,065.75
  5. Step 5: Solve for x
    x = 645,065.75/1,184.92
  6. Step 6: Final answer
    x = 544.40

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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.