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Finding the Fourth Proportional to 694.10, 956.93 and 472.68

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Solution

The fourth proportional to 694.10, 956.93 and 472.68 is: 651.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.10 : 956.93 = 472.68 : x
  2. Step 2: Convert to fraction form
    694.10/956.93 = 472.68/x
  3. Step 3: Cross multiply
    694.10x = 956.93 × 472.68
  4. Step 4: Simplify right side
    694.10x = 452,319.31
  5. Step 5: Solve for x
    x = 452,319.31/694.10
  6. Step 6: Final answer
    x = 651.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.