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Finding the Fourth Proportional to 649.11, 973.98 and 614.25

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Solution

The fourth proportional to 649.11, 973.98 and 614.25 is: 921.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.11 : 973.98 = 614.25 : x
  2. Step 2: Convert to fraction form
    649.11/973.98 = 614.25/x
  3. Step 3: Cross multiply
    649.11x = 973.98 × 614.25
  4. Step 4: Simplify right side
    649.11x = 598,267.22
  5. Step 5: Solve for x
    x = 598,267.22/649.11
  6. Step 6: Final answer
    x = 921.67

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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.