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Finding the Fourth Proportional to 1,690.10, 2,534.83 and 519.77

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Solution

The fourth proportional to 1,690.10, 2,534.83 and 519.77 is: 779.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.10 : 2,534.83 = 519.77 : x
  2. Step 2: Convert to fraction form
    1,690.10/2,534.83 = 519.77/x
  3. Step 3: Cross multiply
    1,690.10x = 2,534.83 × 519.77
  4. Step 4: Simplify right side
    1,690.10x = 1,317,528.59
  5. Step 5: Solve for x
    x = 1,317,528.59/1,690.10
  6. Step 6: Final answer
    x = 779.56

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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.