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Finding the Fourth Proportional to 966.33, 1,451.43 and 577.09

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Solution

The fourth proportional to 966.33, 1,451.43 and 577.09 is: 866.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.33 : 1,451.43 = 577.09 : x
  2. Step 2: Convert to fraction form
    966.33/1,451.43 = 577.09/x
  3. Step 3: Cross multiply
    966.33x = 1,451.43 × 577.09
  4. Step 4: Simplify right side
    966.33x = 837,595.60
  5. Step 5: Solve for x
    x = 837,595.60/966.33
  6. Step 6: Final answer
    x = 866.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.