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Finding the Fourth Proportional to 927.90, 1,391.96 and 434.05

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Solution

The fourth proportional to 927.90, 1,391.96 and 434.05 is: 651.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.90 : 1,391.96 = 434.05 : x
  2. Step 2: Convert to fraction form
    927.90/1,391.96 = 434.05/x
  3. Step 3: Cross multiply
    927.90x = 1,391.96 × 434.05
  4. Step 4: Simplify right side
    927.90x = 604,180.54
  5. Step 5: Solve for x
    x = 604,180.54/927.90
  6. Step 6: Final answer
    x = 651.13

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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.