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Finding the Fourth Proportional to 1,690.49, 2,535.69 and 813.06

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Solution

The fourth proportional to 1,690.49, 2,535.69 and 813.06 is: 1,219.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,690.49 : 2,535.69 = 813.06 : x
  2. Step 2: Convert to fraction form
    1,690.49/2,535.69 = 813.06/x
  3. Step 3: Cross multiply
    1,690.49x = 2,535.69 × 813.06
  4. Step 4: Simplify right side
    1,690.49x = 2,061,668.11
  5. Step 5: Solve for x
    x = 2,061,668.11/1,690.49
  6. Step 6: Final answer
    x = 1,219.57

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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.