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Finding the Fourth Proportional to 738.37, 1,106.46 and 463.63

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Solution

The fourth proportional to 738.37, 1,106.46 and 463.63 is: 694.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.37 : 1,106.46 = 463.63 : x
  2. Step 2: Convert to fraction form
    738.37/1,106.46 = 463.63/x
  3. Step 3: Cross multiply
    738.37x = 1,106.46 × 463.63
  4. Step 4: Simplify right side
    738.37x = 512,988.05
  5. Step 5: Solve for x
    x = 512,988.05/738.37
  6. Step 6: Final answer
    x = 694.76

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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.