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Finding the Fourth Proportional to 694.47, 1,041.71 and 261.73

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Solution

The fourth proportional to 694.47, 1,041.71 and 261.73 is: 392.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.47 : 1,041.71 = 261.73 : x
  2. Step 2: Convert to fraction form
    694.47/1,041.71 = 261.73/x
  3. Step 3: Cross multiply
    694.47x = 1,041.71 × 261.73
  4. Step 4: Simplify right side
    694.47x = 272,646.76
  5. Step 5: Solve for x
    x = 272,646.76/694.47
  6. Step 6: Final answer
    x = 392.60

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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.