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Finding the Fourth Proportional to 1,237.59, 1,707.89 and 713.63

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Solution

The fourth proportional to 1,237.59, 1,707.89 and 713.63 is: 984.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.59 : 1,707.89 = 713.63 : x
  2. Step 2: Convert to fraction form
    1,237.59/1,707.89 = 713.63/x
  3. Step 3: Cross multiply
    1,237.59x = 1,707.89 × 713.63
  4. Step 4: Simplify right side
    1,237.59x = 1,218,789.43
  5. Step 5: Solve for x
    x = 1,218,789.43/1,237.59
  6. Step 6: Final answer
    x = 984.81

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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.