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Finding the Fourth Proportional to 661.34, 912.09 and 624.86

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Solution

The fourth proportional to 661.34, 912.09 and 624.86 is: 861.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.34 : 912.09 = 624.86 : x
  2. Step 2: Convert to fraction form
    661.34/912.09 = 624.86/x
  3. Step 3: Cross multiply
    661.34x = 912.09 × 624.86
  4. Step 4: Simplify right side
    661.34x = 569,928.56
  5. Step 5: Solve for x
    x = 569,928.56/661.34
  6. Step 6: Final answer
    x = 861.78

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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.