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Finding the Fourth Proportional to 994.34, 1,372.09 and 574.66

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Solution

The fourth proportional to 994.34, 1,372.09 and 574.66 is: 792.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.34 : 1,372.09 = 574.66 : x
  2. Step 2: Convert to fraction form
    994.34/1,372.09 = 574.66/x
  3. Step 3: Cross multiply
    994.34x = 1,372.09 × 574.66
  4. Step 4: Simplify right side
    994.34x = 788,482.74
  5. Step 5: Solve for x
    x = 788,482.74/994.34
  6. Step 6: Final answer
    x = 792.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.