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Finding the Fourth Proportional to 693.64, 956.82 and 472.68

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Solution

The fourth proportional to 693.64, 956.82 and 472.68 is: 652.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.64 : 956.82 = 472.68 : x
  2. Step 2: Convert to fraction form
    693.64/956.82 = 472.68/x
  3. Step 3: Cross multiply
    693.64x = 956.82 × 472.68
  4. Step 4: Simplify right side
    693.64x = 452,269.68
  5. Step 5: Solve for x
    x = 452,269.68/693.64
  6. Step 6: Final answer
    x = 652.02

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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.