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Finding the Fourth Proportional to 1,182.95, 1,774.66 and 361.31

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Solution

The fourth proportional to 1,182.95, 1,774.66 and 361.31 is: 542.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.95 : 1,774.66 = 361.31 : x
  2. Step 2: Convert to fraction form
    1,182.95/1,774.66 = 361.31/x
  3. Step 3: Cross multiply
    1,182.95x = 1,774.66 × 361.31
  4. Step 4: Simplify right side
    1,182.95x = 641,203.29
  5. Step 5: Solve for x
    x = 641,203.29/1,182.95
  6. Step 6: Final answer
    x = 542.04

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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.