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Finding the Fourth Proportional to 687.88, 945.77 and 612.48

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Solution

The fourth proportional to 687.88, 945.77 and 612.48 is: 842.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.88 : 945.77 = 612.48 : x
  2. Step 2: Convert to fraction form
    687.88/945.77 = 612.48/x
  3. Step 3: Cross multiply
    687.88x = 945.77 × 612.48
  4. Step 4: Simplify right side
    687.88x = 579,265.21
  5. Step 5: Solve for x
    x = 579,265.21/687.88
  6. Step 6: Final answer
    x = 842.10

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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.