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Finding the Fourth Proportional to 1,058.35, 1,458.97 and 742.66

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Solution

The fourth proportional to 1,058.35, 1,458.97 and 742.66 is: 1,023.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.35 : 1,458.97 = 742.66 : x
  2. Step 2: Convert to fraction form
    1,058.35/1,458.97 = 742.66/x
  3. Step 3: Cross multiply
    1,058.35x = 1,458.97 × 742.66
  4. Step 4: Simplify right side
    1,058.35x = 1,083,518.66
  5. Step 5: Solve for x
    x = 1,083,518.66/1,058.35
  6. Step 6: Final answer
    x = 1,023.78

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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.