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Finding the Fourth Proportional to 926.33, 1,278.29 and 548.46

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Solution

The fourth proportional to 926.33, 1,278.29 and 548.46 is: 756.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.33 : 1,278.29 = 548.46 : x
  2. Step 2: Convert to fraction form
    926.33/1,278.29 = 548.46/x
  3. Step 3: Cross multiply
    926.33x = 1,278.29 × 548.46
  4. Step 4: Simplify right side
    926.33x = 701,090.93
  5. Step 5: Solve for x
    x = 701,090.93/926.33
  6. Step 6: Final answer
    x = 756.85

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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.