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Finding the Fourth Proportional to 922.01, 1,272.56 and 549.21

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Solution

The fourth proportional to 922.01, 1,272.56 and 549.21 is: 758.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.01 : 1,272.56 = 549.21 : x
  2. Step 2: Convert to fraction form
    922.01/1,272.56 = 549.21/x
  3. Step 3: Cross multiply
    922.01x = 1,272.56 × 549.21
  4. Step 4: Simplify right side
    922.01x = 698,902.68
  5. Step 5: Solve for x
    x = 698,902.68/922.01
  6. Step 6: Final answer
    x = 758.02

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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.