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Finding the Fourth Proportional to 1,185.49, 1,778.24 and 777.21

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Solution

The fourth proportional to 1,185.49, 1,778.24 and 777.21 is: 1,165.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.49 : 1,778.24 = 777.21 : x
  2. Step 2: Convert to fraction form
    1,185.49/1,778.24 = 777.21/x
  3. Step 3: Cross multiply
    1,185.49x = 1,778.24 × 777.21
  4. Step 4: Simplify right side
    1,185.49x = 1,382,065.91
  5. Step 5: Solve for x
    x = 1,382,065.91/1,185.49
  6. Step 6: Final answer
    x = 1,165.82

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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.