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Finding the Fourth Proportional to 911.05, 1,256.87 and 596.70

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Solution

The fourth proportional to 911.05, 1,256.87 and 596.70 is: 823.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.05 : 1,256.87 = 596.70 : x
  2. Step 2: Convert to fraction form
    911.05/1,256.87 = 596.70/x
  3. Step 3: Cross multiply
    911.05x = 1,256.87 × 596.70
  4. Step 4: Simplify right side
    911.05x = 749,975.82
  5. Step 5: Solve for x
    x = 749,975.82/911.05
  6. Step 6: Final answer
    x = 823.20

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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.