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Finding the Fourth Proportional to 922.64, 1,273.05 and 549.59

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Solution

The fourth proportional to 922.64, 1,273.05 and 549.59 is: 758.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.64 : 1,273.05 = 549.59 : x
  2. Step 2: Convert to fraction form
    922.64/1,273.05 = 549.59/x
  3. Step 3: Cross multiply
    922.64x = 1,273.05 × 549.59
  4. Step 4: Simplify right side
    922.64x = 699,649.18
  5. Step 5: Solve for x
    x = 699,649.18/922.64
  6. Step 6: Final answer
    x = 758.32

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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.