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Finding the Fourth Proportional to 1,208.10, 1,667.27 and 677.03

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Solution

The fourth proportional to 1,208.10, 1,667.27 and 677.03 is: 934.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.10 : 1,667.27 = 677.03 : x
  2. Step 2: Convert to fraction form
    1,208.10/1,667.27 = 677.03/x
  3. Step 3: Cross multiply
    1,208.10x = 1,667.27 × 677.03
  4. Step 4: Simplify right side
    1,208.10x = 1,128,788.42
  5. Step 5: Solve for x
    x = 1,128,788.42/1,208.10
  6. Step 6: Final answer
    x = 934.35

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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.