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Finding the Fourth Proportional to 921.43, 1,382.82 and 434.62

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Solution

The fourth proportional to 921.43, 1,382.82 and 434.62 is: 652.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.43 : 1,382.82 = 434.62 : x
  2. Step 2: Convert to fraction form
    921.43/1,382.82 = 434.62/x
  3. Step 3: Cross multiply
    921.43x = 1,382.82 × 434.62
  4. Step 4: Simplify right side
    921.43x = 601,001.23
  5. Step 5: Solve for x
    x = 601,001.23/921.43
  6. Step 6: Final answer
    x = 652.25

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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.