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Finding the Fourth Proportional to 1,689.62, 2,534.75 and 519.41

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Solution

The fourth proportional to 1,689.62, 2,534.75 and 519.41 is: 779.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.62 : 2,534.75 = 519.41 : x
  2. Step 2: Convert to fraction form
    1,689.62/2,534.75 = 519.41/x
  3. Step 3: Cross multiply
    1,689.62x = 2,534.75 × 519.41
  4. Step 4: Simplify right side
    1,689.62x = 1,316,585.30
  5. Step 5: Solve for x
    x = 1,316,585.30/1,689.62
  6. Step 6: Final answer
    x = 779.22

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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.