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Finding the Fourth Proportional to 1,055.27, 1,583.19 and 324.83

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Solution

The fourth proportional to 1,055.27, 1,583.19 and 324.83 is: 487.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.27 : 1,583.19 = 324.83 : x
  2. Step 2: Convert to fraction form
    1,055.27/1,583.19 = 324.83/x
  3. Step 3: Cross multiply
    1,055.27x = 1,583.19 × 324.83
  4. Step 4: Simplify right side
    1,055.27x = 514,267.61
  5. Step 5: Solve for x
    x = 514,267.61/1,055.27
  6. Step 6: Final answer
    x = 487.33

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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.