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Finding the Fourth Proportional to 1,690.28, 2,534.57 and 519.99

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Solution

The fourth proportional to 1,690.28, 2,534.57 and 519.99 is: 779.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.28 : 2,534.57 = 519.99 : x
  2. Step 2: Convert to fraction form
    1,690.28/2,534.57 = 519.99/x
  3. Step 3: Cross multiply
    1,690.28x = 2,534.57 × 519.99
  4. Step 4: Simplify right side
    1,690.28x = 1,317,948.45
  5. Step 5: Solve for x
    x = 1,317,948.45/1,690.28
  6. Step 6: Final answer
    x = 779.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.