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Finding the Fourth Proportional to 1,031.19, 1,544.99 and 858.97

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Solution

The fourth proportional to 1,031.19, 1,544.99 and 858.97 is: 1,286.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.19 : 1,544.99 = 858.97 : x
  2. Step 2: Convert to fraction form
    1,031.19/1,544.99 = 858.97/x
  3. Step 3: Cross multiply
    1,031.19x = 1,544.99 × 858.97
  4. Step 4: Simplify right side
    1,031.19x = 1,327,100.06
  5. Step 5: Solve for x
    x = 1,327,100.06/1,031.19
  6. Step 6: Final answer
    x = 1,286.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.