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Finding the Fourth Proportional to 1,370.11, 2,055.93 and 548.45

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Solution

The fourth proportional to 1,370.11, 2,055.93 and 548.45 is: 822.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.11 : 2,055.93 = 548.45 : x
  2. Step 2: Convert to fraction form
    1,370.11/2,055.93 = 548.45/x
  3. Step 3: Cross multiply
    1,370.11x = 2,055.93 × 548.45
  4. Step 4: Simplify right side
    1,370.11x = 1,127,564.53
  5. Step 5: Solve for x
    x = 1,127,564.53/1,370.11
  6. Step 6: Final answer
    x = 822.97

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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.