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Finding the Fourth Proportional to 969.81, 1,454.71 and 285.81

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Solution

The fourth proportional to 969.81, 1,454.71 and 285.81 is: 428.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.81 : 1,454.71 = 285.81 : x
  2. Step 2: Convert to fraction form
    969.81/1,454.71 = 285.81/x
  3. Step 3: Cross multiply
    969.81x = 1,454.71 × 285.81
  4. Step 4: Simplify right side
    969.81x = 415,771.02
  5. Step 5: Solve for x
    x = 415,771.02/969.81
  6. Step 6: Final answer
    x = 428.71

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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.