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Finding the Fourth Proportional to 1,112.73, 1,669.32 and 463.56

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Solution

The fourth proportional to 1,112.73, 1,669.32 and 463.56 is: 695.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.73 : 1,669.32 = 463.56 : x
  2. Step 2: Convert to fraction form
    1,112.73/1,669.32 = 463.56/x
  3. Step 3: Cross multiply
    1,112.73x = 1,669.32 × 463.56
  4. Step 4: Simplify right side
    1,112.73x = 773,829.98
  5. Step 5: Solve for x
    x = 773,829.98/1,112.73
  6. Step 6: Final answer
    x = 695.43

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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.