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Finding the Fourth Proportional to 693.20, 956.75 and 472.02

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Solution

The fourth proportional to 693.20, 956.75 and 472.02 is: 651.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.20 : 956.75 = 472.02 : x
  2. Step 2: Convert to fraction form
    693.20/956.75 = 472.02/x
  3. Step 3: Cross multiply
    693.20x = 956.75 × 472.02
  4. Step 4: Simplify right side
    693.20x = 451,602.77
  5. Step 5: Solve for x
    x = 451,602.77/693.20
  6. Step 6: Final answer
    x = 651.48

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