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Finding the Fourth Proportional to 708.22, 1,061.34 and 399.97

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Solution

The fourth proportional to 708.22, 1,061.34 and 399.97 is: 599.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.22 : 1,061.34 = 399.97 : x
  2. Step 2: Convert to fraction form
    708.22/1,061.34 = 399.97/x
  3. Step 3: Cross multiply
    708.22x = 1,061.34 × 399.97
  4. Step 4: Simplify right side
    708.22x = 424,504.16
  5. Step 5: Solve for x
    x = 424,504.16/708.22
  6. Step 6: Final answer
    x = 599.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.