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Finding the Fourth Proportional to 737.78, 1,106.31 and 429.72

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Solution

The fourth proportional to 737.78, 1,106.31 and 429.72 is: 644.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.78 : 1,106.31 = 429.72 : x
  2. Step 2: Convert to fraction form
    737.78/1,106.31 = 429.72/x
  3. Step 3: Cross multiply
    737.78x = 1,106.31 × 429.72
  4. Step 4: Simplify right side
    737.78x = 475,398.00
  5. Step 5: Solve for x
    x = 475,398.00/737.78
  6. Step 6: Final answer
    x = 644.37

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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.