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Finding the Fourth Proportional to 927.63, 1,278.72 and 665.19

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Solution

The fourth proportional to 927.63, 1,278.72 and 665.19 is: 916.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.63 : 1,278.72 = 665.19 : x
  2. Step 2: Convert to fraction form
    927.63/1,278.72 = 665.19/x
  3. Step 3: Cross multiply
    927.63x = 1,278.72 × 665.19
  4. Step 4: Simplify right side
    927.63x = 850,591.76
  5. Step 5: Solve for x
    x = 850,591.76/927.63
  6. Step 6: Final answer
    x = 916.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.