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Finding the Fourth Proportional to 862.45, 1,294.34 and 631.94

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Solution

The fourth proportional to 862.45, 1,294.34 and 631.94 is: 948.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.45 : 1,294.34 = 631.94 : x
  2. Step 2: Convert to fraction form
    862.45/1,294.34 = 631.94/x
  3. Step 3: Cross multiply
    862.45x = 1,294.34 × 631.94
  4. Step 4: Simplify right side
    862.45x = 817,935.59
  5. Step 5: Solve for x
    x = 817,935.59/862.45
  6. Step 6: Final answer
    x = 948.39

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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.