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Finding the Fourth Proportional to 976.67, 1,465.50 and 566.18

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Solution

The fourth proportional to 976.67, 1,465.50 and 566.18 is: 849.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.67 : 1,465.50 = 566.18 : x
  2. Step 2: Convert to fraction form
    976.67/1,465.50 = 566.18/x
  3. Step 3: Cross multiply
    976.67x = 1,465.50 × 566.18
  4. Step 4: Simplify right side
    976.67x = 829,736.79
  5. Step 5: Solve for x
    x = 829,736.79/976.67
  6. Step 6: Final answer
    x = 849.56

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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.