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Finding the Fourth Proportional to 965.13, 1,446.06 and 689.82

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Solution

The fourth proportional to 965.13, 1,446.06 and 689.82 is: 1,033.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.13 : 1,446.06 = 689.82 : x
  2. Step 2: Convert to fraction form
    965.13/1,446.06 = 689.82/x
  3. Step 3: Cross multiply
    965.13x = 1,446.06 × 689.82
  4. Step 4: Simplify right side
    965.13x = 997,521.11
  5. Step 5: Solve for x
    x = 997,521.11/965.13
  6. Step 6: Final answer
    x = 1,033.56

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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.