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Finding the Fourth Proportional to 1,123.53, 1,550.17 and 669.18

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Solution

The fourth proportional to 1,123.53, 1,550.17 and 669.18 is: 923.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.53 : 1,550.17 = 669.18 : x
  2. Step 2: Convert to fraction form
    1,123.53/1,550.17 = 669.18/x
  3. Step 3: Cross multiply
    1,123.53x = 1,550.17 × 669.18
  4. Step 4: Simplify right side
    1,123.53x = 1,037,342.76
  5. Step 5: Solve for x
    x = 1,037,342.76/1,123.53
  6. Step 6: Final answer
    x = 923.29

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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.