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Finding the Fourth Proportional to 963.26, 1,437.92 and 846.49

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Solution

The fourth proportional to 963.26, 1,437.92 and 846.49 is: 1,263.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.26 : 1,437.92 = 846.49 : x
  2. Step 2: Convert to fraction form
    963.26/1,437.92 = 846.49/x
  3. Step 3: Cross multiply
    963.26x = 1,437.92 × 846.49
  4. Step 4: Simplify right side
    963.26x = 1,217,180.25
  5. Step 5: Solve for x
    x = 1,217,180.25/963.26
  6. Step 6: Final answer
    x = 1,263.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.