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Finding the Fourth Proportional to 1,296.60, 1,942.98 and 646.44

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Solution

The fourth proportional to 1,296.60, 1,942.98 and 646.44 is: 968.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.60 : 1,942.98 = 646.44 : x
  2. Step 2: Convert to fraction form
    1,296.60/1,942.98 = 646.44/x
  3. Step 3: Cross multiply
    1,296.60x = 1,942.98 × 646.44
  4. Step 4: Simplify right side
    1,296.60x = 1,256,019.99
  5. Step 5: Solve for x
    x = 1,256,019.99/1,296.60
  6. Step 6: Final answer
    x = 968.70

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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.