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Finding the Fourth Proportional to 976.84, 1,464.30 and 400.12

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Solution

The fourth proportional to 976.84, 1,464.30 and 400.12 is: 599.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.84 : 1,464.30 = 400.12 : x
  2. Step 2: Convert to fraction form
    976.84/1,464.30 = 400.12/x
  3. Step 3: Cross multiply
    976.84x = 1,464.30 × 400.12
  4. Step 4: Simplify right side
    976.84x = 585,895.72
  5. Step 5: Solve for x
    x = 585,895.72/976.84
  6. Step 6: Final answer
    x = 599.79

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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.