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Finding the Fourth Proportional to 976.24, 1,464.02 and 391.38

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Solution

The fourth proportional to 976.24, 1,464.02 and 391.38 is: 586.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.24 : 1,464.02 = 391.38 : x
  2. Step 2: Convert to fraction form
    976.24/1,464.02 = 391.38/x
  3. Step 3: Cross multiply
    976.24x = 1,464.02 × 391.38
  4. Step 4: Simplify right side
    976.24x = 572,988.15
  5. Step 5: Solve for x
    x = 572,988.15/976.24
  6. Step 6: Final answer
    x = 586.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.