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Finding the Fourth Proportional to 1,094.44, 1,643.72 and 574.84

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Solution

The fourth proportional to 1,094.44, 1,643.72 and 574.84 is: 863.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.44 : 1,643.72 = 574.84 : x
  2. Step 2: Convert to fraction form
    1,094.44/1,643.72 = 574.84/x
  3. Step 3: Cross multiply
    1,094.44x = 1,643.72 × 574.84
  4. Step 4: Simplify right side
    1,094.44x = 944,876.00
  5. Step 5: Solve for x
    x = 944,876.00/1,094.44
  6. Step 6: Final answer
    x = 863.34

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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.