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Finding the Fourth Proportional to 694.60, 1,041.90 and 475.90

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Solution

The fourth proportional to 694.60, 1,041.90 and 475.90 is: 713.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.60 : 1,041.90 = 475.90 : x
  2. Step 2: Convert to fraction form
    694.60/1,041.90 = 475.90/x
  3. Step 3: Cross multiply
    694.60x = 1,041.90 × 475.90
  4. Step 4: Simplify right side
    694.60x = 495,840.21
  5. Step 5: Solve for x
    x = 495,840.21/694.60
  6. Step 6: Final answer
    x = 713.85

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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.