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Finding the Fourth Proportional to 738.65, 1,102.22 and 673.16

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Solution

The fourth proportional to 738.65, 1,102.22 and 673.16 is: 1,004.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.65 : 1,102.22 = 673.16 : x
  2. Step 2: Convert to fraction form
    738.65/1,102.22 = 673.16/x
  3. Step 3: Cross multiply
    738.65x = 1,102.22 × 673.16
  4. Step 4: Simplify right side
    738.65x = 741,964.29
  5. Step 5: Solve for x
    x = 741,964.29/738.65
  6. Step 6: Final answer
    x = 1,004.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.