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Finding the Fourth Proportional to 711.48, 980.94 and 613.02

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Solution

The fourth proportional to 711.48, 980.94 and 613.02 is: 845.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.48 : 980.94 = 613.02 : x
  2. Step 2: Convert to fraction form
    711.48/980.94 = 613.02/x
  3. Step 3: Cross multiply
    711.48x = 980.94 × 613.02
  4. Step 4: Simplify right side
    711.48x = 601,335.84
  5. Step 5: Solve for x
    x = 601,335.84/711.48
  6. Step 6: Final answer
    x = 845.19

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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.