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Finding the Fourth Proportional to 1,094.36, 1,641.44 and 354.06

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Solution

The fourth proportional to 1,094.36, 1,641.44 and 354.06 is: 531.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.36 : 1,641.44 = 354.06 : x
  2. Step 2: Convert to fraction form
    1,094.36/1,641.44 = 354.06/x
  3. Step 3: Cross multiply
    1,094.36x = 1,641.44 × 354.06
  4. Step 4: Simplify right side
    1,094.36x = 581,168.25
  5. Step 5: Solve for x
    x = 581,168.25/1,094.36
  6. Step 6: Final answer
    x = 531.06

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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.