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Finding the Fourth Proportional to 737.32, 1,105.95 and 564.29

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Solution

The fourth proportional to 737.32, 1,105.95 and 564.29 is: 846.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.32 : 1,105.95 = 564.29 : x
  2. Step 2: Convert to fraction form
    737.32/1,105.95 = 564.29/x
  3. Step 3: Cross multiply
    737.32x = 1,105.95 × 564.29
  4. Step 4: Simplify right side
    737.32x = 624,076.53
  5. Step 5: Solve for x
    x = 624,076.53/737.32
  6. Step 6: Final answer
    x = 846.42

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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.