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Finding the Fourth Proportional to 966.68, 1,450.57 and 577.62

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Solution

The fourth proportional to 966.68, 1,450.57 and 577.62 is: 866.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.68 : 1,450.57 = 577.62 : x
  2. Step 2: Convert to fraction form
    966.68/1,450.57 = 577.62/x
  3. Step 3: Cross multiply
    966.68x = 1,450.57 × 577.62
  4. Step 4: Simplify right side
    966.68x = 837,876.80
  5. Step 5: Solve for x
    x = 837,876.80/966.68
  6. Step 6: Final answer
    x = 866.76

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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.