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Finding the Fourth Proportional to 1,294.84, 1,942.46 and 428.95

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Solution

The fourth proportional to 1,294.84, 1,942.46 and 428.95 is: 643.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.84 : 1,942.46 = 428.95 : x
  2. Step 2: Convert to fraction form
    1,294.84/1,942.46 = 428.95/x
  3. Step 3: Cross multiply
    1,294.84x = 1,942.46 × 428.95
  4. Step 4: Simplify right side
    1,294.84x = 833,206.36
  5. Step 5: Solve for x
    x = 833,206.36/1,294.84
  6. Step 6: Final answer
    x = 643.48

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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.