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Finding the Fourth Proportional to 989.24, 1,364.72 and 634.52

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Solution

The fourth proportional to 989.24, 1,364.72 and 634.52 is: 875.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.24 : 1,364.72 = 634.52 : x
  2. Step 2: Convert to fraction form
    989.24/1,364.72 = 634.52/x
  3. Step 3: Cross multiply
    989.24x = 1,364.72 × 634.52
  4. Step 4: Simplify right side
    989.24x = 865,942.37
  5. Step 5: Solve for x
    x = 865,942.37/989.24
  6. Step 6: Final answer
    x = 875.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.