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Finding the Fourth Proportional to 713.73, 984.09 and 595.87

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Solution

The fourth proportional to 713.73, 984.09 and 595.87 is: 821.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.73 : 984.09 = 595.87 : x
  2. Step 2: Convert to fraction form
    713.73/984.09 = 595.87/x
  3. Step 3: Cross multiply
    713.73x = 984.09 × 595.87
  4. Step 4: Simplify right side
    713.73x = 586,389.71
  5. Step 5: Solve for x
    x = 586,389.71/713.73
  6. Step 6: Final answer
    x = 821.59

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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.