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Finding the Fourth Proportional to 1,058.77, 1,586.62 and 729.37

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Solution

The fourth proportional to 1,058.77, 1,586.62 and 729.37 is: 1,093.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.77 : 1,586.62 = 729.37 : x
  2. Step 2: Convert to fraction form
    1,058.77/1,586.62 = 729.37/x
  3. Step 3: Cross multiply
    1,058.77x = 1,586.62 × 729.37
  4. Step 4: Simplify right side
    1,058.77x = 1,157,233.03
  5. Step 5: Solve for x
    x = 1,157,233.03/1,058.77
  6. Step 6: Final answer
    x = 1,093.00

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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.