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Finding the Fourth Proportional to 737.79, 1,107.23 and 595.23

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Solution

The fourth proportional to 737.79, 1,107.23 and 595.23 is: 893.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.79 : 1,107.23 = 595.23 : x
  2. Step 2: Convert to fraction form
    737.79/1,107.23 = 595.23/x
  3. Step 3: Cross multiply
    737.79x = 1,107.23 × 595.23
  4. Step 4: Simplify right side
    737.79x = 659,053.54
  5. Step 5: Solve for x
    x = 659,053.54/737.79
  6. Step 6: Final answer
    x = 893.28

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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.