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Finding the Fourth Proportional to 1,184.73, 1,775.93 and 1,019.62

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Solution

The fourth proportional to 1,184.73, 1,775.93 and 1,019.62 is: 1,528.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.73 : 1,775.93 = 1,019.62 : x
  2. Step 2: Convert to fraction form
    1,184.73/1,775.93 = 1,019.62/x
  3. Step 3: Cross multiply
    1,184.73x = 1,775.93 × 1,019.62
  4. Step 4: Simplify right side
    1,184.73x = 1,810,770.87
  5. Step 5: Solve for x
    x = 1,810,770.87/1,184.73
  6. Step 6: Final answer
    x = 1,528.43

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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.