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Finding the Fourth Proportional to 1,100.21, 1,518.48 and 701.99

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Solution

The fourth proportional to 1,100.21, 1,518.48 and 701.99 is: 968.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.21 : 1,518.48 = 701.99 : x
  2. Step 2: Convert to fraction form
    1,100.21/1,518.48 = 701.99/x
  3. Step 3: Cross multiply
    1,100.21x = 1,518.48 × 701.99
  4. Step 4: Simplify right side
    1,100.21x = 1,065,963.82
  5. Step 5: Solve for x
    x = 1,065,963.82/1,100.21
  6. Step 6: Final answer
    x = 968.88

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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.