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Finding the Fourth Proportional to 1,685.98, 2,529.28 and 515.96

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Solution

The fourth proportional to 1,685.98, 2,529.28 and 515.96 is: 774.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.98 : 2,529.28 = 515.96 : x
  2. Step 2: Convert to fraction form
    1,685.98/2,529.28 = 515.96/x
  3. Step 3: Cross multiply
    1,685.98x = 2,529.28 × 515.96
  4. Step 4: Simplify right side
    1,685.98x = 1,305,018.05
  5. Step 5: Solve for x
    x = 1,305,018.05/1,685.98
  6. Step 6: Final answer
    x = 774.04

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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.