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Finding the Fourth Proportional to 1,125.18, 1,551.42 and 889.47

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Solution

The fourth proportional to 1,125.18, 1,551.42 and 889.47 is: 1,226.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.18 : 1,551.42 = 889.47 : x
  2. Step 2: Convert to fraction form
    1,125.18/1,551.42 = 889.47/x
  3. Step 3: Cross multiply
    1,125.18x = 1,551.42 × 889.47
  4. Step 4: Simplify right side
    1,125.18x = 1,379,941.55
  5. Step 5: Solve for x
    x = 1,379,941.55/1,125.18
  6. Step 6: Final answer
    x = 1,226.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.