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Finding the Fourth Proportional to 1,386.06, 2,078.38 and 461.37

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Solution

The fourth proportional to 1,386.06, 2,078.38 and 461.37 is: 691.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.06 : 2,078.38 = 461.37 : x
  2. Step 2: Convert to fraction form
    1,386.06/2,078.38 = 461.37/x
  3. Step 3: Cross multiply
    1,386.06x = 2,078.38 × 461.37
  4. Step 4: Simplify right side
    1,386.06x = 958,889.48
  5. Step 5: Solve for x
    x = 958,889.48/1,386.06
  6. Step 6: Final answer
    x = 691.81

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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.