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Finding the Fourth Proportional to 1,689.84, 2,535.09 and 519.76

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Solution

The fourth proportional to 1,689.84, 2,535.09 and 519.76 is: 779.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.84 : 2,535.09 = 519.76 : x
  2. Step 2: Convert to fraction form
    1,689.84/2,535.09 = 519.76/x
  3. Step 3: Cross multiply
    1,689.84x = 2,535.09 × 519.76
  4. Step 4: Simplify right side
    1,689.84x = 1,317,638.38
  5. Step 5: Solve for x
    x = 1,317,638.38/1,689.84
  6. Step 6: Final answer
    x = 779.74

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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.