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Finding the Fourth Proportional to 1,685.67, 2,527.11 and 807.69

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Solution

The fourth proportional to 1,685.67, 2,527.11 and 807.69 is: 1,210.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.67 : 2,527.11 = 807.69 : x
  2. Step 2: Convert to fraction form
    1,685.67/2,527.11 = 807.69/x
  3. Step 3: Cross multiply
    1,685.67x = 2,527.11 × 807.69
  4. Step 4: Simplify right side
    1,685.67x = 2,041,121.48
  5. Step 5: Solve for x
    x = 2,041,121.48/1,685.67
  6. Step 6: Final answer
    x = 1,210.87

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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.