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Finding the Fourth Proportional to 966.14, 1,449.75 and 389.06

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Solution

The fourth proportional to 966.14, 1,449.75 and 389.06 is: 583.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.14 : 1,449.75 = 389.06 : x
  2. Step 2: Convert to fraction form
    966.14/1,449.75 = 389.06/x
  3. Step 3: Cross multiply
    966.14x = 1,449.75 × 389.06
  4. Step 4: Simplify right side
    966.14x = 564,039.74
  5. Step 5: Solve for x
    x = 564,039.74/966.14
  6. Step 6: Final answer
    x = 583.81

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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.