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Finding the Fourth Proportional to 927.64, 1,384.69 and 859.96

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Solution

The fourth proportional to 927.64, 1,384.69 and 859.96 is: 1,283.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.64 : 1,384.69 = 859.96 : x
  2. Step 2: Convert to fraction form
    927.64/1,384.69 = 859.96/x
  3. Step 3: Cross multiply
    927.64x = 1,384.69 × 859.96
  4. Step 4: Simplify right side
    927.64x = 1,190,778.01
  5. Step 5: Solve for x
    x = 1,190,778.01/927.64
  6. Step 6: Final answer
    x = 1,283.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.