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Finding the Fourth Proportional to 1,302.29, 1,952.41 and 685.67

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Solution

The fourth proportional to 1,302.29, 1,952.41 and 685.67 is: 1,027.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.29 : 1,952.41 = 685.67 : x
  2. Step 2: Convert to fraction form
    1,302.29/1,952.41 = 685.67/x
  3. Step 3: Cross multiply
    1,302.29x = 1,952.41 × 685.67
  4. Step 4: Simplify right side
    1,302.29x = 1,338,708.96
  5. Step 5: Solve for x
    x = 1,338,708.96/1,302.29
  6. Step 6: Final answer
    x = 1,027.97

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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.