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Finding the Fourth Proportional to 1,349.10, 1,862.06 and 789.82

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Solution

The fourth proportional to 1,349.10, 1,862.06 and 789.82 is: 1,090.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.10 : 1,862.06 = 789.82 : x
  2. Step 2: Convert to fraction form
    1,349.10/1,862.06 = 789.82/x
  3. Step 3: Cross multiply
    1,349.10x = 1,862.06 × 789.82
  4. Step 4: Simplify right side
    1,349.10x = 1,470,683.62
  5. Step 5: Solve for x
    x = 1,470,683.62/1,349.10
  6. Step 6: Final answer
    x = 1,090.12

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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.