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Finding the Fourth Proportional to 1,182.84, 1,774.19 and 361.05

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Solution

The fourth proportional to 1,182.84, 1,774.19 and 361.05 is: 541.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.84 : 1,774.19 = 361.05 : x
  2. Step 2: Convert to fraction form
    1,182.84/1,774.19 = 361.05/x
  3. Step 3: Cross multiply
    1,182.84x = 1,774.19 × 361.05
  4. Step 4: Simplify right side
    1,182.84x = 640,562.43
  5. Step 5: Solve for x
    x = 640,562.43/1,182.84
  6. Step 6: Final answer
    x = 541.55

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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.