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Finding the Fourth Proportional to 921.54, 1,382.64 and 428.18

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Solution

The fourth proportional to 921.54, 1,382.64 and 428.18 is: 642.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.54 : 1,382.64 = 428.18 : x
  2. Step 2: Convert to fraction form
    921.54/1,382.64 = 428.18/x
  3. Step 3: Cross multiply
    921.54x = 1,382.64 × 428.18
  4. Step 4: Simplify right side
    921.54x = 592,018.80
  5. Step 5: Solve for x
    x = 592,018.80/921.54
  6. Step 6: Final answer
    x = 642.42

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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.