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Finding the Fourth Proportional to 713.56, 984.74 and 589.16

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Solution

The fourth proportional to 713.56, 984.74 and 589.16 is: 813.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.56 : 984.74 = 589.16 : x
  2. Step 2: Convert to fraction form
    713.56/984.74 = 589.16/x
  3. Step 3: Cross multiply
    713.56x = 984.74 × 589.16
  4. Step 4: Simplify right side
    713.56x = 580,169.42
  5. Step 5: Solve for x
    x = 580,169.42/713.56
  6. Step 6: Final answer
    x = 813.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.