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Finding the Fourth Proportional to 1,182.84, 1,774.52 and 361.23

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Solution

The fourth proportional to 1,182.84, 1,774.52 and 361.23 is: 541.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.84 : 1,774.52 = 361.23 : x
  2. Step 2: Convert to fraction form
    1,182.84/1,774.52 = 361.23/x
  3. Step 3: Cross multiply
    1,182.84x = 1,774.52 × 361.23
  4. Step 4: Simplify right side
    1,182.84x = 641,009.86
  5. Step 5: Solve for x
    x = 641,009.86/1,182.84
  6. Step 6: Final answer
    x = 541.92

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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.