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Finding the Fourth Proportional to 1,058.22, 1,460.63 and 638.58

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Solution

The fourth proportional to 1,058.22, 1,460.63 and 638.58 is: 881.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058.22 : 1,460.63 = 638.58 : x
  2. Step 2: Convert to fraction form
    1,058.22/1,460.63 = 638.58/x
  3. Step 3: Cross multiply
    1,058.22x = 1,460.63 × 638.58
  4. Step 4: Simplify right side
    1,058.22x = 932,729.11
  5. Step 5: Solve for x
    x = 932,729.11/1,058.22
  6. Step 6: Final answer
    x = 881.41

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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.