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Finding the Fourth Proportional to 1,296.28, 1,943.34 and 646.12

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Solution

The fourth proportional to 1,296.28, 1,943.34 and 646.12 is: 968.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.28 : 1,943.34 = 646.12 : x
  2. Step 2: Convert to fraction form
    1,296.28/1,943.34 = 646.12/x
  3. Step 3: Cross multiply
    1,296.28x = 1,943.34 × 646.12
  4. Step 4: Simplify right side
    1,296.28x = 1,255,630.84
  5. Step 5: Solve for x
    x = 1,255,630.84/1,296.28
  6. Step 6: Final answer
    x = 968.64

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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.