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Finding the Fourth Proportional to 927.63, 1,390.53 and 516.55

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Solution

The fourth proportional to 927.63, 1,390.53 and 516.55 is: 774.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.63 : 1,390.53 = 516.55 : x
  2. Step 2: Convert to fraction form
    927.63/1,390.53 = 516.55/x
  3. Step 3: Cross multiply
    927.63x = 1,390.53 × 516.55
  4. Step 4: Simplify right side
    927.63x = 718,278.27
  5. Step 5: Solve for x
    x = 718,278.27/927.63
  6. Step 6: Final answer
    x = 774.32

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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.