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Finding the Fourth Proportional to 964.26, 1,446.39 and 773.10

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Solution

The fourth proportional to 964.26, 1,446.39 and 773.10 is: 1,159.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.26 : 1,446.39 = 773.10 : x
  2. Step 2: Convert to fraction form
    964.26/1,446.39 = 773.10/x
  3. Step 3: Cross multiply
    964.26x = 1,446.39 × 773.10
  4. Step 4: Simplify right side
    964.26x = 1,118,204.11
  5. Step 5: Solve for x
    x = 1,118,204.11/964.26
  6. Step 6: Final answer
    x = 1,159.65

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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.