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Finding the Fourth Proportional to 976.04, 1,463.09 and 390.84

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Solution

The fourth proportional to 976.04, 1,463.09 and 390.84 is: 585.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.04 : 1,463.09 = 390.84 : x
  2. Step 2: Convert to fraction form
    976.04/1,463.09 = 390.84/x
  3. Step 3: Cross multiply
    976.04x = 1,463.09 × 390.84
  4. Step 4: Simplify right side
    976.04x = 571,832.14
  5. Step 5: Solve for x
    x = 571,832.14/976.04
  6. Step 6: Final answer
    x = 585.87

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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.