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Finding the Fourth Proportional to 736.14, 1,014.73 and 549.34

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Solution

The fourth proportional to 736.14, 1,014.73 and 549.34 is: 757.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.14 : 1,014.73 = 549.34 : x
  2. Step 2: Convert to fraction form
    736.14/1,014.73 = 549.34/x
  3. Step 3: Cross multiply
    736.14x = 1,014.73 × 549.34
  4. Step 4: Simplify right side
    736.14x = 557,427.87
  5. Step 5: Solve for x
    x = 557,427.87/736.14
  6. Step 6: Final answer
    x = 757.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.