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Finding the Fourth Proportional to 1,055.80, 1,583.79 and 325.36

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Solution

The fourth proportional to 1,055.80, 1,583.79 and 325.36 is: 488.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.80 : 1,583.79 = 325.36 : x
  2. Step 2: Convert to fraction form
    1,055.80/1,583.79 = 325.36/x
  3. Step 3: Cross multiply
    1,055.80x = 1,583.79 × 325.36
  4. Step 4: Simplify right side
    1,055.80x = 515,301.91
  5. Step 5: Solve for x
    x = 515,301.91/1,055.80
  6. Step 6: Final answer
    x = 488.07

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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.