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Finding the Fourth Proportional to 696.42, 1,042.71 and 366.66

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Solution

The fourth proportional to 696.42, 1,042.71 and 366.66 is: 548.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.42 : 1,042.71 = 366.66 : x
  2. Step 2: Convert to fraction form
    696.42/1,042.71 = 366.66/x
  3. Step 3: Cross multiply
    696.42x = 1,042.71 × 366.66
  4. Step 4: Simplify right side
    696.42x = 382,320.05
  5. Step 5: Solve for x
    x = 382,320.05/696.42
  6. Step 6: Final answer
    x = 548.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.