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Finding the Fourth Proportional to 713.80, 984.18 and 556.12

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Solution

The fourth proportional to 713.80, 984.18 and 556.12 is: 766.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.80 : 984.18 = 556.12 : x
  2. Step 2: Convert to fraction form
    713.80/984.18 = 556.12/x
  3. Step 3: Cross multiply
    713.80x = 984.18 × 556.12
  4. Step 4: Simplify right side
    713.80x = 547,322.18
  5. Step 5: Solve for x
    x = 547,322.18/713.80
  6. Step 6: Final answer
    x = 766.77

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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.