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Finding the Fourth Proportional to 862.63, 1,294.14 and 285.50

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Solution

The fourth proportional to 862.63, 1,294.14 and 285.50 is: 428.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.63 : 1,294.14 = 285.50 : x
  2. Step 2: Convert to fraction form
    862.63/1,294.14 = 285.50/x
  3. Step 3: Cross multiply
    862.63x = 1,294.14 × 285.50
  4. Step 4: Simplify right side
    862.63x = 369,476.97
  5. Step 5: Solve for x
    x = 369,476.97/862.63
  6. Step 6: Final answer
    x = 428.31

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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.