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Finding the Fourth Proportional to 1,364.62, 2,047.07 and 634.41

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Solution

The fourth proportional to 1,364.62, 2,047.07 and 634.41 is: 951.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.62 : 2,047.07 = 634.41 : x
  2. Step 2: Convert to fraction form
    1,364.62/2,047.07 = 634.41/x
  3. Step 3: Cross multiply
    1,364.62x = 2,047.07 × 634.41
  4. Step 4: Simplify right side
    1,364.62x = 1,298,681.68
  5. Step 5: Solve for x
    x = 1,298,681.68/1,364.62
  6. Step 6: Final answer
    x = 951.68

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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.