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Finding the Fourth Proportional to 1,347.16, 1,858.86 and 905.80

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Solution

The fourth proportional to 1,347.16, 1,858.86 and 905.80 is: 1,249.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.16 : 1,858.86 = 905.80 : x
  2. Step 2: Convert to fraction form
    1,347.16/1,858.86 = 905.80/x
  3. Step 3: Cross multiply
    1,347.16x = 1,858.86 × 905.80
  4. Step 4: Simplify right side
    1,347.16x = 1,683,755.39
  5. Step 5: Solve for x
    x = 1,683,755.39/1,347.16
  6. Step 6: Final answer
    x = 1,249.86

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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.