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Finding the Fourth Proportional to 1,216.83, 1,825.65 and 723.15

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Solution

The fourth proportional to 1,216.83, 1,825.65 and 723.15 is: 1,084.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.83 : 1,825.65 = 723.15 : x
  2. Step 2: Convert to fraction form
    1,216.83/1,825.65 = 723.15/x
  3. Step 3: Cross multiply
    1,216.83x = 1,825.65 × 723.15
  4. Step 4: Simplify right side
    1,216.83x = 1,320,218.80
  5. Step 5: Solve for x
    x = 1,320,218.80/1,216.83
  6. Step 6: Final answer
    x = 1,084.97

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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.