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Finding the Fourth Proportional to 1,094.16, 1,641.36 and 445.34

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Solution

The fourth proportional to 1,094.16, 1,641.36 and 445.34 is: 668.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.16 : 1,641.36 = 445.34 : x
  2. Step 2: Convert to fraction form
    1,094.16/1,641.36 = 445.34/x
  3. Step 3: Cross multiply
    1,094.16x = 1,641.36 × 445.34
  4. Step 4: Simplify right side
    1,094.16x = 730,963.26
  5. Step 5: Solve for x
    x = 730,963.26/1,094.16
  6. Step 6: Final answer
    x = 668.06

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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.