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Finding the Fourth Proportional to 1,660.96, 2,491.20 and 565.12

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Solution

The fourth proportional to 1,660.96, 2,491.20 and 565.12 is: 847.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.96 : 2,491.20 = 565.12 : x
  2. Step 2: Convert to fraction form
    1,660.96/2,491.20 = 565.12/x
  3. Step 3: Cross multiply
    1,660.96x = 2,491.20 × 565.12
  4. Step 4: Simplify right side
    1,660.96x = 1,407,826.94
  5. Step 5: Solve for x
    x = 1,407,826.94/1,660.96
  6. Step 6: Final answer
    x = 847.60

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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.