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Finding the Fourth Proportional to 1,360.23, 2,040.42 and 386.25

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Solution

The fourth proportional to 1,360.23, 2,040.42 and 386.25 is: 579.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.23 : 2,040.42 = 386.25 : x
  2. Step 2: Convert to fraction form
    1,360.23/2,040.42 = 386.25/x
  3. Step 3: Cross multiply
    1,360.23x = 2,040.42 × 386.25
  4. Step 4: Simplify right side
    1,360.23x = 788,112.23
  5. Step 5: Solve for x
    x = 788,112.23/1,360.23
  6. Step 6: Final answer
    x = 579.40

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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.