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Finding the Fourth Proportional to 1,184.87, 1,775.25 and 1,036.97

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Solution

The fourth proportional to 1,184.87, 1,775.25 and 1,036.97 is: 1,553.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.87 : 1,775.25 = 1,036.97 : x
  2. Step 2: Convert to fraction form
    1,184.87/1,775.25 = 1,036.97/x
  3. Step 3: Cross multiply
    1,184.87x = 1,775.25 × 1,036.97
  4. Step 4: Simplify right side
    1,184.87x = 1,840,880.99
  5. Step 5: Solve for x
    x = 1,840,880.99/1,184.87
  6. Step 6: Final answer
    x = 1,553.66

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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.