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Finding the Fourth Proportional to 911.21, 1,364.06 and 646.72

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Solution

The fourth proportional to 911.21, 1,364.06 and 646.72 is: 968.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.21 : 1,364.06 = 646.72 : x
  2. Step 2: Convert to fraction form
    911.21/1,364.06 = 646.72/x
  3. Step 3: Cross multiply
    911.21x = 1,364.06 × 646.72
  4. Step 4: Simplify right side
    911.21x = 882,163.09
  5. Step 5: Solve for x
    x = 882,163.09/911.21
  6. Step 6: Final answer
    x = 968.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.