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Finding the Fourth Proportional to 1,055.96, 1,583.94 and 325.62

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Solution

The fourth proportional to 1,055.96, 1,583.94 and 325.62 is: 488.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.96 : 1,583.94 = 325.62 : x
  2. Step 2: Convert to fraction form
    1,055.96/1,583.94 = 325.62/x
  3. Step 3: Cross multiply
    1,055.96x = 1,583.94 × 325.62
  4. Step 4: Simplify right side
    1,055.96x = 515,762.54
  5. Step 5: Solve for x
    x = 515,762.54/1,055.96
  6. Step 6: Final answer
    x = 488.43

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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.