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Finding the Fourth Proportional to 1,208.16, 1,667.29 and 736.08

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Solution

The fourth proportional to 1,208.16, 1,667.29 and 736.08 is: 1,015.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.16 : 1,667.29 = 736.08 : x
  2. Step 2: Convert to fraction form
    1,208.16/1,667.29 = 736.08/x
  3. Step 3: Cross multiply
    1,208.16x = 1,667.29 × 736.08
  4. Step 4: Simplify right side
    1,208.16x = 1,227,258.82
  5. Step 5: Solve for x
    x = 1,227,258.82/1,208.16
  6. Step 6: Final answer
    x = 1,015.81

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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.