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Finding the Fourth Proportional to 1,237.29, 1,708.14 and 984.74

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Solution

The fourth proportional to 1,237.29, 1,708.14 and 984.74 is: 1,359.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.29 : 1,708.14 = 984.74 : x
  2. Step 2: Convert to fraction form
    1,237.29/1,708.14 = 984.74/x
  3. Step 3: Cross multiply
    1,237.29x = 1,708.14 × 984.74
  4. Step 4: Simplify right side
    1,237.29x = 1,682,065.24
  5. Step 5: Solve for x
    x = 1,682,065.24/1,237.29
  6. Step 6: Final answer
    x = 1,359.48

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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.