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Finding the Fourth Proportional to 737.84, 1,106.53 and 327.34

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Solution

The fourth proportional to 737.84, 1,106.53 and 327.34 is: 490.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.84 : 1,106.53 = 327.34 : x
  2. Step 2: Convert to fraction form
    737.84/1,106.53 = 327.34/x
  3. Step 3: Cross multiply
    737.84x = 1,106.53 × 327.34
  4. Step 4: Simplify right side
    737.84x = 362,212.10
  5. Step 5: Solve for x
    x = 362,212.10/737.84
  6. Step 6: Final answer
    x = 490.91

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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.