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Finding the Fourth Proportional to 1,232.42, 1,847.54 and 463.46

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Solution

The fourth proportional to 1,232.42, 1,847.54 and 463.46 is: 694.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.42 : 1,847.54 = 463.46 : x
  2. Step 2: Convert to fraction form
    1,232.42/1,847.54 = 463.46/x
  3. Step 3: Cross multiply
    1,232.42x = 1,847.54 × 463.46
  4. Step 4: Simplify right side
    1,232.42x = 856,252.81
  5. Step 5: Solve for x
    x = 856,252.81/1,232.42
  6. Step 6: Final answer
    x = 694.78

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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.