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Finding the Fourth Proportional to 1,237.82, 1,855.49 and 775.93

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Solution

The fourth proportional to 1,237.82, 1,855.49 and 775.93 is: 1,163.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.82 : 1,855.49 = 775.93 : x
  2. Step 2: Convert to fraction form
    1,237.82/1,855.49 = 775.93/x
  3. Step 3: Cross multiply
    1,237.82x = 1,855.49 × 775.93
  4. Step 4: Simplify right side
    1,237.82x = 1,439,721.40
  5. Step 5: Solve for x
    x = 1,439,721.40/1,237.82
  6. Step 6: Final answer
    x = 1,163.11

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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.