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Finding the Fourth Proportional to 1,184.97, 1,777.57 and 363.10

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Solution

The fourth proportional to 1,184.97, 1,777.57 and 363.10 is: 544.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.97 : 1,777.57 = 363.10 : x
  2. Step 2: Convert to fraction form
    1,184.97/1,777.57 = 363.10/x
  3. Step 3: Cross multiply
    1,184.97x = 1,777.57 × 363.10
  4. Step 4: Simplify right side
    1,184.97x = 645,434.67
  5. Step 5: Solve for x
    x = 645,434.67/1,184.97
  6. Step 6: Final answer
    x = 544.68

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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.