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Finding the Fourth Proportional to 911.01, 1,256.25 and 595.92

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Solution

The fourth proportional to 911.01, 1,256.25 and 595.92 is: 821.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.01 : 1,256.25 = 595.92 : x
  2. Step 2: Convert to fraction form
    911.01/1,256.25 = 595.92/x
  3. Step 3: Cross multiply
    911.01x = 1,256.25 × 595.92
  4. Step 4: Simplify right side
    911.01x = 748,624.50
  5. Step 5: Solve for x
    x = 748,624.50/911.01
  6. Step 6: Final answer
    x = 821.75

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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.