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Finding the Fourth Proportional to 939.77, 1,305.84 and 929.64

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Solution

The fourth proportional to 939.77, 1,305.84 and 929.64 is: 1,291.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.77 : 1,305.84 = 929.64 : x
  2. Step 2: Convert to fraction form
    939.77/1,305.84 = 929.64/x
  3. Step 3: Cross multiply
    939.77x = 1,305.84 × 929.64
  4. Step 4: Simplify right side
    939.77x = 1,213,961.10
  5. Step 5: Solve for x
    x = 1,213,961.10/939.77
  6. Step 6: Final answer
    x = 1,291.77

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.