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Finding the Fourth Proportional to 1,643.85, 2,463.66 and 776.25

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Solution

The fourth proportional to 1,643.85, 2,463.66 and 776.25 is: 1,163.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.85 : 2,463.66 = 776.25 : x
  2. Step 2: Convert to fraction form
    1,643.85/2,463.66 = 776.25/x
  3. Step 3: Cross multiply
    1,643.85x = 2,463.66 × 776.25
  4. Step 4: Simplify right side
    1,643.85x = 1,912,416.08
  5. Step 5: Solve for x
    x = 1,912,416.08/1,643.85
  6. Step 6: Final answer
    x = 1,163.38

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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.