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Finding the Fourth Proportional to 737.90, 1,106.96 and 429.59

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Solution

The fourth proportional to 737.90, 1,106.96 and 429.59 is: 644.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.90 : 1,106.96 = 429.59 : x
  2. Step 2: Convert to fraction form
    737.90/1,106.96 = 429.59/x
  3. Step 3: Cross multiply
    737.90x = 1,106.96 × 429.59
  4. Step 4: Simplify right side
    737.90x = 475,539.57
  5. Step 5: Solve for x
    x = 475,539.57/737.90
  6. Step 6: Final answer
    x = 644.45

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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.