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Finding the Fourth Proportional to 712.77, 979.84 and 612.81

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Solution

The fourth proportional to 712.77, 979.84 and 612.81 is: 842.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.77 : 979.84 = 612.81 : x
  2. Step 2: Convert to fraction form
    712.77/979.84 = 612.81/x
  3. Step 3: Cross multiply
    712.77x = 979.84 × 612.81
  4. Step 4: Simplify right side
    712.77x = 600,462.26
  5. Step 5: Solve for x
    x = 600,462.26/712.77
  6. Step 6: Final answer
    x = 842.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.