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Finding the Fourth Proportional to 708, 1,062.08 and 399.68

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Solution

The fourth proportional to 708, 1,062.08 and 399.68 is: 599.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    708 : 1,062.08 = 399.68 : x
  2. Step 2: Convert to fraction form
    708/1,062.08 = 399.68/x
  3. Step 3: Cross multiply
    708x = 1,062.08 × 399.68
  4. Step 4: Simplify right side
    708x = 424,492.13
  5. Step 5: Solve for x
    x = 424,492.13/708
  6. Step 6: Final answer
    x = 599.57

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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.