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Finding the Fourth Proportional to 1,031.87, 1,544.40 and 889.31

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Solution

The fourth proportional to 1,031.87, 1,544.40 and 889.31 is: 1,331.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.87 : 1,544.40 = 889.31 : x
  2. Step 2: Convert to fraction form
    1,031.87/1,544.40 = 889.31/x
  3. Step 3: Cross multiply
    1,031.87x = 1,544.40 × 889.31
  4. Step 4: Simplify right side
    1,031.87x = 1,373,442.64
  5. Step 5: Solve for x
    x = 1,373,442.64/1,031.87
  6. Step 6: Final answer
    x = 1,331.03

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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.