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Finding the Fourth Proportional to 1,279.44, 1,762.16 and 1,058.31

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Solution

The fourth proportional to 1,279.44, 1,762.16 and 1,058.31 is: 1,457.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.44 : 1,762.16 = 1,058.31 : x
  2. Step 2: Convert to fraction form
    1,279.44/1,762.16 = 1,058.31/x
  3. Step 3: Cross multiply
    1,279.44x = 1,762.16 × 1,058.31
  4. Step 4: Simplify right side
    1,279.44x = 1,864,906.26
  5. Step 5: Solve for x
    x = 1,864,906.26/1,279.44
  6. Step 6: Final answer
    x = 1,457.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.