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Finding the Fourth Proportional to 711.21, 980.87 and 534.60

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Solution

The fourth proportional to 711.21, 980.87 and 534.60 is: 737.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.21 : 980.87 = 534.60 : x
  2. Step 2: Convert to fraction form
    711.21/980.87 = 534.60/x
  3. Step 3: Cross multiply
    711.21x = 980.87 × 534.60
  4. Step 4: Simplify right side
    711.21x = 524,370.80
  5. Step 5: Solve for x
    x = 524,370.80/711.21
  6. Step 6: Final answer
    x = 737.29

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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.