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Finding the Fourth Proportional to 1,058.45, 1,586.36 and 797.60

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Solution

The fourth proportional to 1,058.45, 1,586.36 and 797.60 is: 1,195.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.45 : 1,586.36 = 797.60 : x
  2. Step 2: Convert to fraction form
    1,058.45/1,586.36 = 797.60/x
  3. Step 3: Cross multiply
    1,058.45x = 1,586.36 × 797.60
  4. Step 4: Simplify right side
    1,058.45x = 1,265,286.70
  5. Step 5: Solve for x
    x = 1,265,286.70/1,058.45
  6. Step 6: Final answer
    x = 1,195.42

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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.