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Finding the Fourth Proportional to 879.13, 1,212.49 and 546.93

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Solution

The fourth proportional to 879.13, 1,212.49 and 546.93 is: 754.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.13 : 1,212.49 = 546.93 : x
  2. Step 2: Convert to fraction form
    879.13/1,212.49 = 546.93/x
  3. Step 3: Cross multiply
    879.13x = 1,212.49 × 546.93
  4. Step 4: Simplify right side
    879.13x = 663,147.16
  5. Step 5: Solve for x
    x = 663,147.16/879.13
  6. Step 6: Final answer
    x = 754.32

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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.