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Finding the Fourth Proportional to 694.70, 1,041.60 and 330.02

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Solution

The fourth proportional to 694.70, 1,041.60 and 330.02 is: 494.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.70 : 1,041.60 = 330.02 : x
  2. Step 2: Convert to fraction form
    694.70/1,041.60 = 330.02/x
  3. Step 3: Cross multiply
    694.70x = 1,041.60 × 330.02
  4. Step 4: Simplify right side
    694.70x = 343,748.83
  5. Step 5: Solve for x
    x = 343,748.83/694.70
  6. Step 6: Final answer
    x = 494.82

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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.