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Finding the Fourth Proportional to 1,058.31, 1,586.55 and 570.80

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Solution

The fourth proportional to 1,058.31, 1,586.55 and 570.80 is: 855.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.31 : 1,586.55 = 570.80 : x
  2. Step 2: Convert to fraction form
    1,058.31/1,586.55 = 570.80/x
  3. Step 3: Cross multiply
    1,058.31x = 1,586.55 × 570.80
  4. Step 4: Simplify right side
    1,058.31x = 905,608.85
  5. Step 5: Solve for x
    x = 905,608.85/1,058.31
  6. Step 6: Final answer
    x = 855.71

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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.