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Finding the Fourth Proportional to 1,055.67, 1,583.18 and 325.23

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Solution

The fourth proportional to 1,055.67, 1,583.18 and 325.23 is: 487.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.67 : 1,583.18 = 325.23 : x
  2. Step 2: Convert to fraction form
    1,055.67/1,583.18 = 325.23/x
  3. Step 3: Cross multiply
    1,055.67x = 1,583.18 × 325.23
  4. Step 4: Simplify right side
    1,055.67x = 514,889.72
  5. Step 5: Solve for x
    x = 514,889.72/1,055.67
  6. Step 6: Final answer
    x = 487.74

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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.