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Finding the Fourth Proportional to 693.89, 956.48 and 472.46

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Solution

The fourth proportional to 693.89, 956.48 and 472.46 is: 651.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.89 : 956.48 = 472.46 : x
  2. Step 2: Convert to fraction form
    693.89/956.48 = 472.46/x
  3. Step 3: Cross multiply
    693.89x = 956.48 × 472.46
  4. Step 4: Simplify right side
    693.89x = 451,894.94
  5. Step 5: Solve for x
    x = 451,894.94/693.89
  6. Step 6: Final answer
    x = 651.25

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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.