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Finding the Fourth Proportional to 1,208.04, 1,666.87 and 683.97

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Solution

The fourth proportional to 1,208.04, 1,666.87 and 683.97 is: 943.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.04 : 1,666.87 = 683.97 : x
  2. Step 2: Convert to fraction form
    1,208.04/1,666.87 = 683.97/x
  3. Step 3: Cross multiply
    1,208.04x = 1,666.87 × 683.97
  4. Step 4: Simplify right side
    1,208.04x = 1,140,089.07
  5. Step 5: Solve for x
    x = 1,140,089.07/1,208.04
  6. Step 6: Final answer
    x = 943.75

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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.