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Finding the Fourth Proportional to 738.63, 1,106.87 and 327.65

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Solution

The fourth proportional to 738.63, 1,106.87 and 327.65 is: 490.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.63 : 1,106.87 = 327.65 : x
  2. Step 2: Convert to fraction form
    738.63/1,106.87 = 327.65/x
  3. Step 3: Cross multiply
    738.63x = 1,106.87 × 327.65
  4. Step 4: Simplify right side
    738.63x = 362,658.78
  5. Step 5: Solve for x
    x = 362,658.78/738.63
  6. Step 6: Final answer
    x = 490.99

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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.