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Finding the Fourth Proportional to 1,185.78, 1,775.02 and 774.03

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Solution

The fourth proportional to 1,185.78, 1,775.02 and 774.03 is: 1,158.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.78 : 1,775.02 = 774.03 : x
  2. Step 2: Convert to fraction form
    1,185.78/1,775.02 = 774.03/x
  3. Step 3: Cross multiply
    1,185.78x = 1,775.02 × 774.03
  4. Step 4: Simplify right side
    1,185.78x = 1,373,918.73
  5. Step 5: Solve for x
    x = 1,373,918.73/1,185.78
  6. Step 6: Final answer
    x = 1,158.66

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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.