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Finding the Fourth Proportional to 1,055.77, 1,583.80 and 325.33

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Solution

The fourth proportional to 1,055.77, 1,583.80 and 325.33 is: 488.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.77 : 1,583.80 = 325.33 : x
  2. Step 2: Convert to fraction form
    1,055.77/1,583.80 = 325.33/x
  3. Step 3: Cross multiply
    1,055.77x = 1,583.80 × 325.33
  4. Step 4: Simplify right side
    1,055.77x = 515,252.88
  5. Step 5: Solve for x
    x = 515,252.88/1,055.77
  6. Step 6: Final answer
    x = 488.04

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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.