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Finding the Fourth Proportional to 1,294.54, 1,942.14 and 428.86

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Solution

The fourth proportional to 1,294.54, 1,942.14 and 428.86 is: 643.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.54 : 1,942.14 = 428.86 : x
  2. Step 2: Convert to fraction form
    1,294.54/1,942.14 = 428.86/x
  3. Step 3: Cross multiply
    1,294.54x = 1,942.14 × 428.86
  4. Step 4: Simplify right side
    1,294.54x = 832,906.16
  5. Step 5: Solve for x
    x = 832,906.16/1,294.54
  6. Step 6: Final answer
    x = 643.40

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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.