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Finding the Fourth Proportional to 1,553.86, 2,329.50 and 731.68

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Solution

The fourth proportional to 1,553.86, 2,329.50 and 731.68 is: 1,096.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,553.86 : 2,329.50 = 731.68 : x
  2. Step 2: Convert to fraction form
    1,553.86/2,329.50 = 731.68/x
  3. Step 3: Cross multiply
    1,553.86x = 2,329.50 × 731.68
  4. Step 4: Simplify right side
    1,553.86x = 1,704,448.56
  5. Step 5: Solve for x
    x = 1,704,448.56/1,553.86
  6. Step 6: Final answer
    x = 1,096.91

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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.