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Finding the Fourth Proportional to 874, 1,206.19 and 612.64

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Solution

The fourth proportional to 874, 1,206.19 and 612.64 is: 845.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    874 : 1,206.19 = 612.64 : x
  2. Step 2: Convert to fraction form
    874/1,206.19 = 612.64/x
  3. Step 3: Cross multiply
    874x = 1,206.19 × 612.64
  4. Step 4: Simplify right side
    874x = 738,960.24
  5. Step 5: Solve for x
    x = 738,960.24/874
  6. Step 6: Final answer
    x = 845.49

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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.