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Finding the Fourth Proportional to 976.44, 1,464.89 and 283.12

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Solution

The fourth proportional to 976.44, 1,464.89 and 283.12 is: 424.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.44 : 1,464.89 = 283.12 : x
  2. Step 2: Convert to fraction form
    976.44/1,464.89 = 283.12/x
  3. Step 3: Cross multiply
    976.44x = 1,464.89 × 283.12
  4. Step 4: Simplify right side
    976.44x = 414,734.58
  5. Step 5: Solve for x
    x = 414,734.58/976.44
  6. Step 6: Final answer
    x = 424.74

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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.