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Finding the Fourth Proportional to 1,123.05, 1,550.51 and 725.06

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Solution

The fourth proportional to 1,123.05, 1,550.51 and 725.06 is: 1,001.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.05 : 1,550.51 = 725.06 : x
  2. Step 2: Convert to fraction form
    1,123.05/1,550.51 = 725.06/x
  3. Step 3: Cross multiply
    1,123.05x = 1,550.51 × 725.06
  4. Step 4: Simplify right side
    1,123.05x = 1,124,212.78
  5. Step 5: Solve for x
    x = 1,124,212.78/1,123.05
  6. Step 6: Final answer
    x = 1,001.04

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