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Finding the Fourth Proportional to 1,153.08, 1,738.13 and 1,086.21

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Solution

The fourth proportional to 1,153.08, 1,738.13 and 1,086.21 is: 1,637.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.08 : 1,738.13 = 1,086.21 : x
  2. Step 2: Convert to fraction form
    1,153.08/1,738.13 = 1,086.21/x
  3. Step 3: Cross multiply
    1,153.08x = 1,738.13 × 1,086.21
  4. Step 4: Simplify right side
    1,153.08x = 1,887,968.76
  5. Step 5: Solve for x
    x = 1,887,968.76/1,153.08
  6. Step 6: Final answer
    x = 1,637.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.