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Finding the Fourth Proportional to 964.36, 1,445.82 and 451.24

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Solution

The fourth proportional to 964.36, 1,445.82 and 451.24 is: 676.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.36 : 1,445.82 = 451.24 : x
  2. Step 2: Convert to fraction form
    964.36/1,445.82 = 451.24/x
  3. Step 3: Cross multiply
    964.36x = 1,445.82 × 451.24
  4. Step 4: Simplify right side
    964.36x = 652,411.82
  5. Step 5: Solve for x
    x = 652,411.82/964.36
  6. Step 6: Final answer
    x = 676.52

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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.