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Finding the Fourth Proportional to 738.26, 1,102.41 and 730.16

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Solution

The fourth proportional to 738.26, 1,102.41 and 730.16 is: 1,090.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.26 : 1,102.41 = 730.16 : x
  2. Step 2: Convert to fraction form
    738.26/1,102.41 = 730.16/x
  3. Step 3: Cross multiply
    738.26x = 1,102.41 × 730.16
  4. Step 4: Simplify right side
    738.26x = 804,935.69
  5. Step 5: Solve for x
    x = 804,935.69/738.26
  6. Step 6: Final answer
    x = 1,090.31

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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.