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Finding the Fourth Proportional to 1,699.53, 2,546.41 and 822.45

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Solution

The fourth proportional to 1,699.53, 2,546.41 and 822.45 is: 1,232.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.53 : 2,546.41 = 822.45 : x
  2. Step 2: Convert to fraction form
    1,699.53/2,546.41 = 822.45/x
  3. Step 3: Cross multiply
    1,699.53x = 2,546.41 × 822.45
  4. Step 4: Simplify right side
    1,699.53x = 2,094,278.06
  5. Step 5: Solve for x
    x = 2,094,278.06/1,699.53
  6. Step 6: Final answer
    x = 1,232.27

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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.