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Finding the Fourth Proportional to 737.82, 1,106.01 and 463.23

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Solution

The fourth proportional to 737.82, 1,106.01 and 463.23 is: 694.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.82 : 1,106.01 = 463.23 : x
  2. Step 2: Convert to fraction form
    737.82/1,106.01 = 463.23/x
  3. Step 3: Cross multiply
    737.82x = 1,106.01 × 463.23
  4. Step 4: Simplify right side
    737.82x = 512,337.01
  5. Step 5: Solve for x
    x = 512,337.01/737.82
  6. Step 6: Final answer
    x = 694.39

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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.