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Finding the Fourth Proportional to 1,643.19, 2,463.81 and 547.26

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Solution

The fourth proportional to 1,643.19, 2,463.81 and 547.26 is: 820.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.19 : 2,463.81 = 547.26 : x
  2. Step 2: Convert to fraction form
    1,643.19/2,463.81 = 547.26/x
  3. Step 3: Cross multiply
    1,643.19x = 2,463.81 × 547.26
  4. Step 4: Simplify right side
    1,643.19x = 1,348,344.66
  5. Step 5: Solve for x
    x = 1,348,344.66/1,643.19
  6. Step 6: Final answer
    x = 820.57

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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.