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Finding the Fourth Proportional to 1,699.38, 2,549.34 and 833.63

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Solution

The fourth proportional to 1,699.38, 2,549.34 and 833.63 is: 1,250.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.38 : 2,549.34 = 833.63 : x
  2. Step 2: Convert to fraction form
    1,699.38/2,549.34 = 833.63/x
  3. Step 3: Cross multiply
    1,699.38x = 2,549.34 × 833.63
  4. Step 4: Simplify right side
    1,699.38x = 2,125,193.56
  5. Step 5: Solve for x
    x = 2,125,193.56/1,699.38
  6. Step 6: Final answer
    x = 1,250.57

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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.