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Finding the Fourth Proportional to 965.16, 1,446.46 and 451.24

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Solution

The fourth proportional to 965.16, 1,446.46 and 451.24 is: 676.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.16 : 1,446.46 = 451.24 : x
  2. Step 2: Convert to fraction form
    965.16/1,446.46 = 451.24/x
  3. Step 3: Cross multiply
    965.16x = 1,446.46 × 451.24
  4. Step 4: Simplify right side
    965.16x = 652,700.61
  5. Step 5: Solve for x
    x = 652,700.61/965.16
  6. Step 6: Final answer
    x = 676.26

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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.