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Finding the Fourth Proportional to 976.68, 1,466.10 and 565.74

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Solution

The fourth proportional to 976.68, 1,466.10 and 565.74 is: 849.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.68 : 1,466.10 = 565.74 : x
  2. Step 2: Convert to fraction form
    976.68/1,466.10 = 565.74/x
  3. Step 3: Cross multiply
    976.68x = 1,466.10 × 565.74
  4. Step 4: Simplify right side
    976.68x = 829,431.41
  5. Step 5: Solve for x
    x = 829,431.41/976.68
  6. Step 6: Final answer
    x = 849.24

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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.