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Finding the Fourth Proportional to 1,699.76, 2,549.03 and 822.26

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Solution

The fourth proportional to 1,699.76, 2,549.03 and 822.26 is: 1,233.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.76 : 2,549.03 = 822.26 : x
  2. Step 2: Convert to fraction form
    1,699.76/2,549.03 = 822.26/x
  3. Step 3: Cross multiply
    1,699.76x = 2,549.03 × 822.26
  4. Step 4: Simplify right side
    1,699.76x = 2,095,965.41
  5. Step 5: Solve for x
    x = 2,095,965.41/1,699.76
  6. Step 6: Final answer
    x = 1,233.09

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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.