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Finding the Fourth Proportional to 1,686.40, 2,529.50 and 516.49

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Solution

The fourth proportional to 1,686.40, 2,529.50 and 516.49 is: 774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.40 : 2,529.50 = 516.49 : x
  2. Step 2: Convert to fraction form
    1,686.40/2,529.50 = 516.49/x
  3. Step 3: Cross multiply
    1,686.40x = 2,529.50 × 516.49
  4. Step 4: Simplify right side
    1,686.40x = 1,306,452.55
  5. Step 5: Solve for x
    x = 1,306,452.55/1,686.40
  6. Step 6: Final answer
    x = 774.70

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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.