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Finding the Fourth Proportional to 1,094.26, 1,637.60 and 896.98

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Solution

The fourth proportional to 1,094.26, 1,637.60 and 896.98 is: 1,342.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.26 : 1,637.60 = 896.98 : x
  2. Step 2: Convert to fraction form
    1,094.26/1,637.60 = 896.98/x
  3. Step 3: Cross multiply
    1,094.26x = 1,637.60 × 896.98
  4. Step 4: Simplify right side
    1,094.26x = 1,468,894.45
  5. Step 5: Solve for x
    x = 1,468,894.45/1,094.26
  6. Step 6: Final answer
    x = 1,342.36

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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.