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Finding the Fourth Proportional to 976.68, 1,464.84 and 391.74

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Solution

The fourth proportional to 976.68, 1,464.84 and 391.74 is: 587.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.68 : 1,464.84 = 391.74 : x
  2. Step 2: Convert to fraction form
    976.68/1,464.84 = 391.74/x
  3. Step 3: Cross multiply
    976.68x = 1,464.84 × 391.74
  4. Step 4: Simplify right side
    976.68x = 573,836.42
  5. Step 5: Solve for x
    x = 573,836.42/976.68
  6. Step 6: Final answer
    x = 587.54

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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.