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Finding the Fourth Proportional to 1,208.69, 1,667.96 and 711.35

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Solution

The fourth proportional to 1,208.69, 1,667.96 and 711.35 is: 981.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.69 : 1,667.96 = 711.35 : x
  2. Step 2: Convert to fraction form
    1,208.69/1,667.96 = 711.35/x
  3. Step 3: Cross multiply
    1,208.69x = 1,667.96 × 711.35
  4. Step 4: Simplify right side
    1,208.69x = 1,186,500.37
  5. Step 5: Solve for x
    x = 1,186,500.37/1,208.69
  6. Step 6: Final answer
    x = 981.64

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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.