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Finding the Fourth Proportional to 1,164.06, 1,743.69 and 840.06

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Solution

The fourth proportional to 1,164.06, 1,743.69 and 840.06 is: 1,258.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.06 : 1,743.69 = 840.06 : x
  2. Step 2: Convert to fraction form
    1,164.06/1,743.69 = 840.06/x
  3. Step 3: Cross multiply
    1,164.06x = 1,743.69 × 840.06
  4. Step 4: Simplify right side
    1,164.06x = 1,464,804.22
  5. Step 5: Solve for x
    x = 1,464,804.22/1,164.06
  6. Step 6: Final answer
    x = 1,258.36

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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.