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Finding the Fourth Proportional to 966.57, 1,450.34 and 350.33

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Solution

The fourth proportional to 966.57, 1,450.34 and 350.33 is: 525.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.57 : 1,450.34 = 350.33 : x
  2. Step 2: Convert to fraction form
    966.57/1,450.34 = 350.33/x
  3. Step 3: Cross multiply
    966.57x = 1,450.34 × 350.33
  4. Step 4: Simplify right side
    966.57x = 508,089.92
  5. Step 5: Solve for x
    x = 508,089.92/966.57
  6. Step 6: Final answer
    x = 525.66

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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.