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Finding the Fourth Proportional to 1,685.13, 2,527.97 and 760.67

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Solution

The fourth proportional to 1,685.13, 2,527.97 and 760.67 is: 1,141.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685.13 : 2,527.97 = 760.67 : x
  2. Step 2: Convert to fraction form
    1,685.13/2,527.97 = 760.67/x
  3. Step 3: Cross multiply
    1,685.13x = 2,527.97 × 760.67
  4. Step 4: Simplify right side
    1,685.13x = 1,922,940.20
  5. Step 5: Solve for x
    x = 1,922,940.20/1,685.13
  6. Step 6: Final answer
    x = 1,141.12

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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.