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Finding the Fourth Proportional to 711.35, 980.89 and 445.69

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Solution

The fourth proportional to 711.35, 980.89 and 445.69 is: 614.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.35 : 980.89 = 445.69 : x
  2. Step 2: Convert to fraction form
    711.35/980.89 = 445.69/x
  3. Step 3: Cross multiply
    711.35x = 980.89 × 445.69
  4. Step 4: Simplify right side
    711.35x = 437,172.86
  5. Step 5: Solve for x
    x = 437,172.86/711.35
  6. Step 6: Final answer
    x = 614.57

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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.