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Finding the Fourth Proportional to 976.37, 1,464.71 and 428.54

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Solution

The fourth proportional to 976.37, 1,464.71 and 428.54 is: 642.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.37 : 1,464.71 = 428.54 : x
  2. Step 2: Convert to fraction form
    976.37/1,464.71 = 428.54/x
  3. Step 3: Cross multiply
    976.37x = 1,464.71 × 428.54
  4. Step 4: Simplify right side
    976.37x = 627,677.36
  5. Step 5: Solve for x
    x = 627,677.36/976.37
  6. Step 6: Final answer
    x = 642.87

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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.