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Finding the Fourth Proportional to 1,401.97, 2,101.74 and 708.06

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Solution

The fourth proportional to 1,401.97, 2,101.74 and 708.06 is: 1,061.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.97 : 2,101.74 = 708.06 : x
  2. Step 2: Convert to fraction form
    1,401.97/2,101.74 = 708.06/x
  3. Step 3: Cross multiply
    1,401.97x = 2,101.74 × 708.06
  4. Step 4: Simplify right side
    1,401.97x = 1,488,158.02
  5. Step 5: Solve for x
    x = 1,488,158.02/1,401.97
  6. Step 6: Final answer
    x = 1,061.48

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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.