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Finding the Fourth Proportional to 1,262.74, 1,892.46 and 646.60

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Solution

The fourth proportional to 1,262.74, 1,892.46 and 646.60 is: 969.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.74 : 1,892.46 = 646.60 : x
  2. Step 2: Convert to fraction form
    1,262.74/1,892.46 = 646.60/x
  3. Step 3: Cross multiply
    1,262.74x = 1,892.46 × 646.60
  4. Step 4: Simplify right side
    1,262.74x = 1,223,664.64
  5. Step 5: Solve for x
    x = 1,223,664.64/1,262.74
  6. Step 6: Final answer
    x = 969.06

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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.