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Finding the Fourth Proportional to 694.31, 1,041.85 and 369.66

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Solution

The fourth proportional to 694.31, 1,041.85 and 369.66 is: 554.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.31 : 1,041.85 = 369.66 : x
  2. Step 2: Convert to fraction form
    694.31/1,041.85 = 369.66/x
  3. Step 3: Cross multiply
    694.31x = 1,041.85 × 369.66
  4. Step 4: Simplify right side
    694.31x = 385,132.56
  5. Step 5: Solve for x
    x = 385,132.56/694.31
  6. Step 6: Final answer
    x = 554.70

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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.