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Finding the Fourth Proportional to 711.02, 980.78 and 445.44

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Solution

The fourth proportional to 711.02, 980.78 and 445.44 is: 614.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.02 : 980.78 = 445.44 : x
  2. Step 2: Convert to fraction form
    711.02/980.78 = 445.44/x
  3. Step 3: Cross multiply
    711.02x = 980.78 × 445.44
  4. Step 4: Simplify right side
    711.02x = 436,878.64
  5. Step 5: Solve for x
    x = 436,878.64/711.02
  6. Step 6: Final answer
    x = 614.44

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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.