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Finding the Fourth Proportional to 694.98, 1,042.47 and 208.02

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Solution

The fourth proportional to 694.98, 1,042.47 and 208.02 is: 312.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.98 : 1,042.47 = 208.02 : x
  2. Step 2: Convert to fraction form
    694.98/1,042.47 = 208.02/x
  3. Step 3: Cross multiply
    694.98x = 1,042.47 × 208.02
  4. Step 4: Simplify right side
    694.98x = 216,854.61
  5. Step 5: Solve for x
    x = 216,854.61/694.98
  6. Step 6: Final answer
    x = 312.03

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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.