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Finding the Fourth Proportional to 976.02, 1,465.05 and 565.97

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Solution

The fourth proportional to 976.02, 1,465.05 and 565.97 is: 849.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.02 : 1,465.05 = 565.97 : x
  2. Step 2: Convert to fraction form
    976.02/1,465.05 = 565.97/x
  3. Step 3: Cross multiply
    976.02x = 1,465.05 × 565.97
  4. Step 4: Simplify right side
    976.02x = 829,167.02
  5. Step 5: Solve for x
    x = 829,167.02/976.02
  6. Step 6: Final answer
    x = 849.54

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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.