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Finding the Fourth Proportional to 927.90, 1,392.17 and 557.69

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Solution

The fourth proportional to 927.90, 1,392.17 and 557.69 is: 836.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.90 : 1,392.17 = 557.69 : x
  2. Step 2: Convert to fraction form
    927.90/1,392.17 = 557.69/x
  3. Step 3: Cross multiply
    927.90x = 1,392.17 × 557.69
  4. Step 4: Simplify right side
    927.90x = 776,389.54
  5. Step 5: Solve for x
    x = 776,389.54/927.90
  6. Step 6: Final answer
    x = 836.72

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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.