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Finding the Fourth Proportional to 911.79, 1,257.42 and 596.70

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Solution

The fourth proportional to 911.79, 1,257.42 and 596.70 is: 822.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.79 : 1,257.42 = 596.70 : x
  2. Step 2: Convert to fraction form
    911.79/1,257.42 = 596.70/x
  3. Step 3: Cross multiply
    911.79x = 1,257.42 × 596.70
  4. Step 4: Simplify right side
    911.79x = 750,302.51
  5. Step 5: Solve for x
    x = 750,302.51/911.79
  6. Step 6: Final answer
    x = 822.89

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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.