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Finding the Fourth Proportional to 967.82, 1,452.41 and 577.58

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Solution

The fourth proportional to 967.82, 1,452.41 and 577.58 is: 866.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.82 : 1,452.41 = 577.58 : x
  2. Step 2: Convert to fraction form
    967.82/1,452.41 = 577.58/x
  3. Step 3: Cross multiply
    967.82x = 1,452.41 × 577.58
  4. Step 4: Simplify right side
    967.82x = 838,872.82
  5. Step 5: Solve for x
    x = 838,872.82/967.82
  6. Step 6: Final answer
    x = 866.77

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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.