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Finding the Fourth Proportional to 1,237.96, 1,708.59 and 942.67

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Solution

The fourth proportional to 1,237.96, 1,708.59 and 942.67 is: 1,301.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.96 : 1,708.59 = 942.67 : x
  2. Step 2: Convert to fraction form
    1,237.96/1,708.59 = 942.67/x
  3. Step 3: Cross multiply
    1,237.96x = 1,708.59 × 942.67
  4. Step 4: Simplify right side
    1,237.96x = 1,610,636.54
  5. Step 5: Solve for x
    x = 1,610,636.54/1,237.96
  6. Step 6: Final answer
    x = 1,301.04

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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.