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Finding the Fourth Proportional to 1,255.45, 1,730.82 and 1,058.62

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Solution

The fourth proportional to 1,255.45, 1,730.82 and 1,058.62 is: 1,459.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.45 : 1,730.82 = 1,058.62 : x
  2. Step 2: Convert to fraction form
    1,255.45/1,730.82 = 1,058.62/x
  3. Step 3: Cross multiply
    1,255.45x = 1,730.82 × 1,058.62
  4. Step 4: Simplify right side
    1,255.45x = 1,832,280.67
  5. Step 5: Solve for x
    x = 1,832,280.67/1,255.45
  6. Step 6: Final answer
    x = 1,459.46

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