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Finding the Fourth Proportional to 664.95, 994.76 and 574.62

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Solution

The fourth proportional to 664.95, 994.76 and 574.62 is: 859.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.95 : 994.76 = 574.62 : x
  2. Step 2: Convert to fraction form
    664.95/994.76 = 574.62/x
  3. Step 3: Cross multiply
    664.95x = 994.76 × 574.62
  4. Step 4: Simplify right side
    664.95x = 571,606.12
  5. Step 5: Solve for x
    x = 571,606.12/664.95
  6. Step 6: Final answer
    x = 859.62

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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.