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Finding the Fourth Proportional to 1,055.70, 1,583.64 and 325.26

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Solution

The fourth proportional to 1,055.70, 1,583.64 and 325.26 is: 487.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.70 : 1,583.64 = 325.26 : x
  2. Step 2: Convert to fraction form
    1,055.70/1,583.64 = 325.26/x
  3. Step 3: Cross multiply
    1,055.70x = 1,583.64 × 325.26
  4. Step 4: Simplify right side
    1,055.70x = 515,094.75
  5. Step 5: Solve for x
    x = 515,094.75/1,055.70
  6. Step 6: Final answer
    x = 487.92

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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.