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Finding the Fourth Proportional to 1,237.89, 1,708.29 and 685.89

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Solution

The fourth proportional to 1,237.89, 1,708.29 and 685.89 is: 946.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.89 : 1,708.29 = 685.89 : x
  2. Step 2: Convert to fraction form
    1,237.89/1,708.29 = 685.89/x
  3. Step 3: Cross multiply
    1,237.89x = 1,708.29 × 685.89
  4. Step 4: Simplify right side
    1,237.89x = 1,171,699.03
  5. Step 5: Solve for x
    x = 1,171,699.03/1,237.89
  6. Step 6: Final answer
    x = 946.53

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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.