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Finding the Fourth Proportional to 1,055.51, 1,583.54 and 325.10

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Solution

The fourth proportional to 1,055.51, 1,583.54 and 325.10 is: 487.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.51 : 1,583.54 = 325.10 : x
  2. Step 2: Convert to fraction form
    1,055.51/1,583.54 = 325.10/x
  3. Step 3: Cross multiply
    1,055.51x = 1,583.54 × 325.10
  4. Step 4: Simplify right side
    1,055.51x = 514,799.31
  5. Step 5: Solve for x
    x = 514,799.31/1,055.51
  6. Step 6: Final answer
    x = 487.73

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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.