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Finding the Fourth Proportional to 1,689.19, 2,533.70 and 519.14

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Solution

The fourth proportional to 1,689.19, 2,533.70 and 519.14 is: 778.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.19 : 2,533.70 = 519.14 : x
  2. Step 2: Convert to fraction form
    1,689.19/2,533.70 = 519.14/x
  3. Step 3: Cross multiply
    1,689.19x = 2,533.70 × 519.14
  4. Step 4: Simplify right side
    1,689.19x = 1,315,352.65
  5. Step 5: Solve for x
    x = 1,315,352.65/1,689.19
  6. Step 6: Final answer
    x = 778.69

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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.