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Finding the Fourth Proportional to 737.24, 1,103.92 and 590.31

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Solution

The fourth proportional to 737.24, 1,103.92 and 590.31 is: 883.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.24 : 1,103.92 = 590.31 : x
  2. Step 2: Convert to fraction form
    737.24/1,103.92 = 590.31/x
  3. Step 3: Cross multiply
    737.24x = 1,103.92 × 590.31
  4. Step 4: Simplify right side
    737.24x = 651,653.54
  5. Step 5: Solve for x
    x = 651,653.54/737.24
  6. Step 6: Final answer
    x = 883.91

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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.