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Finding the Fourth Proportional to 1,185.83, 1,779.65 and 774.85

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Solution

The fourth proportional to 1,185.83, 1,779.65 and 774.85 is: 1,162.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.83 : 1,779.65 = 774.85 : x
  2. Step 2: Convert to fraction form
    1,185.83/1,779.65 = 774.85/x
  3. Step 3: Cross multiply
    1,185.83x = 1,779.65 × 774.85
  4. Step 4: Simplify right side
    1,185.83x = 1,378,953.48
  5. Step 5: Solve for x
    x = 1,378,953.48/1,185.83
  6. Step 6: Final answer
    x = 1,162.86

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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.