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Finding the Fourth Proportional to 1,122.42, 1,683 and 463.92

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Solution

The fourth proportional to 1,122.42, 1,683 and 463.92 is: 695.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.42 : 1,683 = 463.92 : x
  2. Step 2: Convert to fraction form
    1,122.42/1,683 = 463.92/x
  3. Step 3: Cross multiply
    1,122.42x = 1,683 × 463.92
  4. Step 4: Simplify right side
    1,122.42x = 780,777.36
  5. Step 5: Solve for x
    x = 780,777.36/1,122.42
  6. Step 6: Final answer
    x = 695.62

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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.