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Finding the Fourth Proportional to 1,313.60, 1,968.27 and 618.62

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Solution

The fourth proportional to 1,313.60, 1,968.27 and 618.62 is: 926.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.60 : 1,968.27 = 618.62 : x
  2. Step 2: Convert to fraction form
    1,313.60/1,968.27 = 618.62/x
  3. Step 3: Cross multiply
    1,313.60x = 1,968.27 × 618.62
  4. Step 4: Simplify right side
    1,313.60x = 1,217,612.73
  5. Step 5: Solve for x
    x = 1,217,612.73/1,313.60
  6. Step 6: Final answer
    x = 926.93

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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.