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Finding the Fourth Proportional to 645.24, 968.69 and 611.22

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Solution

The fourth proportional to 645.24, 968.69 and 611.22 is: 917.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.24 : 968.69 = 611.22 : x
  2. Step 2: Convert to fraction form
    645.24/968.69 = 611.22/x
  3. Step 3: Cross multiply
    645.24x = 968.69 × 611.22
  4. Step 4: Simplify right side
    645.24x = 592,082.70
  5. Step 5: Solve for x
    x = 592,082.70/645.24
  6. Step 6: Final answer
    x = 917.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.