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Finding the Fourth Proportional to 1,094.72, 1,642.24 and 325.28

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Solution

The fourth proportional to 1,094.72, 1,642.24 and 325.28 is: 487.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.72 : 1,642.24 = 325.28 : x
  2. Step 2: Convert to fraction form
    1,094.72/1,642.24 = 325.28/x
  3. Step 3: Cross multiply
    1,094.72x = 1,642.24 × 325.28
  4. Step 4: Simplify right side
    1,094.72x = 534,187.83
  5. Step 5: Solve for x
    x = 534,187.83/1,094.72
  6. Step 6: Final answer
    x = 487.97

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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.