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Finding the Fourth Proportional to 1,263.26, 1,893.34 and 646.62

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Solution

The fourth proportional to 1,263.26, 1,893.34 and 646.62 is: 969.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.26 : 1,893.34 = 646.62 : x
  2. Step 2: Convert to fraction form
    1,263.26/1,893.34 = 646.62/x
  3. Step 3: Cross multiply
    1,263.26x = 1,893.34 × 646.62
  4. Step 4: Simplify right side
    1,263.26x = 1,224,265.22
  5. Step 5: Solve for x
    x = 1,224,265.22/1,263.26
  6. Step 6: Final answer
    x = 969.13

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