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Finding the Fourth Proportional to 1,260.44, 1,738.19 and 840.81

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Solution

The fourth proportional to 1,260.44, 1,738.19 and 840.81 is: 1,159.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.44 : 1,738.19 = 840.81 : x
  2. Step 2: Convert to fraction form
    1,260.44/1,738.19 = 840.81/x
  3. Step 3: Cross multiply
    1,260.44x = 1,738.19 × 840.81
  4. Step 4: Simplify right side
    1,260.44x = 1,461,496.15
  5. Step 5: Solve for x
    x = 1,461,496.15/1,260.44
  6. Step 6: Final answer
    x = 1,159.51

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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.