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Finding the Fourth Proportional to 1,662.06, 2,491.55 and 565.67

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Solution

The fourth proportional to 1,662.06, 2,491.55 and 565.67 is: 847.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.06 : 2,491.55 = 565.67 : x
  2. Step 2: Convert to fraction form
    1,662.06/2,491.55 = 565.67/x
  3. Step 3: Cross multiply
    1,662.06x = 2,491.55 × 565.67
  4. Step 4: Simplify right side
    1,662.06x = 1,409,379.80
  5. Step 5: Solve for x
    x = 1,409,379.80/1,662.06
  6. Step 6: Final answer
    x = 847.97

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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.