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Finding the Fourth Proportional to 921.86, 1,383.70 and 677.70

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Solution

The fourth proportional to 921.86, 1,383.70 and 677.70 is: 1,017.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.86 : 1,383.70 = 677.70 : x
  2. Step 2: Convert to fraction form
    921.86/1,383.70 = 677.70/x
  3. Step 3: Cross multiply
    921.86x = 1,383.70 × 677.70
  4. Step 4: Simplify right side
    921.86x = 937,733.49
  5. Step 5: Solve for x
    x = 937,733.49/921.86
  6. Step 6: Final answer
    x = 1,017.22

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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.