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Finding the Fourth Proportional to 1,232.56, 1,849.12 and 463.04

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Solution

The fourth proportional to 1,232.56, 1,849.12 and 463.04 is: 694.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.56 : 1,849.12 = 463.04 : x
  2. Step 2: Convert to fraction form
    1,232.56/1,849.12 = 463.04/x
  3. Step 3: Cross multiply
    1,232.56x = 1,849.12 × 463.04
  4. Step 4: Simplify right side
    1,232.56x = 856,216.52
  5. Step 5: Solve for x
    x = 856,216.52/1,232.56
  6. Step 6: Final answer
    x = 694.67

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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.