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Finding the Fourth Proportional to 1,758.51, 2,635.34 and 833.90

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Solution

The fourth proportional to 1,758.51, 2,635.34 and 833.90 is: 1,249.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.51 : 2,635.34 = 833.90 : x
  2. Step 2: Convert to fraction form
    1,758.51/2,635.34 = 833.90/x
  3. Step 3: Cross multiply
    1,758.51x = 2,635.34 × 833.90
  4. Step 4: Simplify right side
    1,758.51x = 2,197,592.68
  5. Step 5: Solve for x
    x = 2,197,592.68/1,758.51
  6. Step 6: Final answer
    x = 1,249.69

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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.