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Finding the Fourth Proportional to 1,124.50, 1,550.64 and 682.24

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Solution

The fourth proportional to 1,124.50, 1,550.64 and 682.24 is: 940.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124.50 : 1,550.64 = 682.24 : x
  2. Step 2: Convert to fraction form
    1,124.50/1,550.64 = 682.24/x
  3. Step 3: Cross multiply
    1,124.50x = 1,550.64 × 682.24
  4. Step 4: Simplify right side
    1,124.50x = 1,057,908.63
  5. Step 5: Solve for x
    x = 1,057,908.63/1,124.50
  6. Step 6: Final answer
    x = 940.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.