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Finding the Fourth Proportional to 1,685.71, 2,529.06 and 499.78

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Solution

The fourth proportional to 1,685.71, 2,529.06 and 499.78 is: 749.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.71 : 2,529.06 = 499.78 : x
  2. Step 2: Convert to fraction form
    1,685.71/2,529.06 = 499.78/x
  3. Step 3: Cross multiply
    1,685.71x = 2,529.06 × 499.78
  4. Step 4: Simplify right side
    1,685.71x = 1,263,974.89
  5. Step 5: Solve for x
    x = 1,263,974.89/1,685.71
  6. Step 6: Final answer
    x = 749.82

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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.