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Finding the Fourth Proportional to 1,663.13, 2,494.29 and 567.20

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Solution

The fourth proportional to 1,663.13, 2,494.29 and 567.20 is: 850.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.13 : 2,494.29 = 567.20 : x
  2. Step 2: Convert to fraction form
    1,663.13/2,494.29 = 567.20/x
  3. Step 3: Cross multiply
    1,663.13x = 2,494.29 × 567.20
  4. Step 4: Simplify right side
    1,663.13x = 1,414,769.65
  5. Step 5: Solve for x
    x = 1,414,769.65/1,663.13
  6. Step 6: Final answer
    x = 850.67

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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.