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Finding the Fourth Proportional to 911.34, 1,259.29 and 648.90

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Solution

The fourth proportional to 911.34, 1,259.29 and 648.90 is: 896.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.34 : 1,259.29 = 648.90 : x
  2. Step 2: Convert to fraction form
    911.34/1,259.29 = 648.90/x
  3. Step 3: Cross multiply
    911.34x = 1,259.29 × 648.90
  4. Step 4: Simplify right side
    911.34x = 817,146.98
  5. Step 5: Solve for x
    x = 817,146.98/911.34
  6. Step 6: Final answer
    x = 896.65

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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.