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Finding the Fourth Proportional to 911.19, 1,257.13 and 596.64

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Solution

The fourth proportional to 911.19, 1,257.13 and 596.64 is: 823.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.19 : 1,257.13 = 596.64 : x
  2. Step 2: Convert to fraction form
    911.19/1,257.13 = 596.64/x
  3. Step 3: Cross multiply
    911.19x = 1,257.13 × 596.64
  4. Step 4: Simplify right side
    911.19x = 750,059.50
  5. Step 5: Solve for x
    x = 750,059.50/911.19
  6. Step 6: Final answer
    x = 823.16

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Why These Related Problems?

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