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Finding the Fourth Proportional to 1,123.34, 1,550.25 and 739.94

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Solution

The fourth proportional to 1,123.34, 1,550.25 and 739.94 is: 1,021.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.34 : 1,550.25 = 739.94 : x
  2. Step 2: Convert to fraction form
    1,123.34/1,550.25 = 739.94/x
  3. Step 3: Cross multiply
    1,123.34x = 1,550.25 × 739.94
  4. Step 4: Simplify right side
    1,123.34x = 1,147,084.23
  5. Step 5: Solve for x
    x = 1,147,084.23/1,123.34
  6. Step 6: Final answer
    x = 1,021.14

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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.