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Finding the Fourth Proportional to 1,182, 1,775.61 and 771.78

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Solution

The fourth proportional to 1,182, 1,775.61 and 771.78 is: 1,159.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182 : 1,775.61 = 771.78 : x
  2. Step 2: Convert to fraction form
    1,182/1,775.61 = 771.78/x
  3. Step 3: Cross multiply
    1,182x = 1,775.61 × 771.78
  4. Step 4: Simplify right side
    1,182x = 1,370,380.29
  5. Step 5: Solve for x
    x = 1,370,380.29/1,182
  6. Step 6: Final answer
    x = 1,159.37

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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.