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Finding the Fourth Proportional to 879.15, 1,212.91 and 538.35

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Solution

The fourth proportional to 879.15, 1,212.91 and 538.35 is: 742.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.15 : 1,212.91 = 538.35 : x
  2. Step 2: Convert to fraction form
    879.15/1,212.91 = 538.35/x
  3. Step 3: Cross multiply
    879.15x = 1,212.91 × 538.35
  4. Step 4: Simplify right side
    879.15x = 652,968.75
  5. Step 5: Solve for x
    x = 652,968.75/879.15
  6. Step 6: Final answer
    x = 742.73

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