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Finding the Fourth Proportional to 966.77, 1,449.26 and 350.33

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Solution

The fourth proportional to 966.77, 1,449.26 and 350.33 is: 525.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.77 : 1,449.26 = 350.33 : x
  2. Step 2: Convert to fraction form
    966.77/1,449.26 = 350.33/x
  3. Step 3: Cross multiply
    966.77x = 1,449.26 × 350.33
  4. Step 4: Simplify right side
    966.77x = 507,711.57
  5. Step 5: Solve for x
    x = 507,711.57/966.77
  6. Step 6: Final answer
    x = 525.16

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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.