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Finding the Fourth Proportional to 1,373.67, 2,058.98 and 680.51

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Solution

The fourth proportional to 1,373.67, 2,058.98 and 680.51 is: 1,020.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,373.67 : 2,058.98 = 680.51 : x
  2. Step 2: Convert to fraction form
    1,373.67/2,058.98 = 680.51/x
  3. Step 3: Cross multiply
    1,373.67x = 2,058.98 × 680.51
  4. Step 4: Simplify right side
    1,373.67x = 1,401,142.78
  5. Step 5: Solve for x
    x = 1,401,142.78/1,373.67
  6. Step 6: Final answer
    x = 1,020.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.