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Finding the Fourth Proportional to 942.84, 1,301.94 and 709.56

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Solution

The fourth proportional to 942.84, 1,301.94 and 709.56 is: 979.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.84 : 1,301.94 = 709.56 : x
  2. Step 2: Convert to fraction form
    942.84/1,301.94 = 709.56/x
  3. Step 3: Cross multiply
    942.84x = 1,301.94 × 709.56
  4. Step 4: Simplify right side
    942.84x = 923,804.55
  5. Step 5: Solve for x
    x = 923,804.55/942.84
  6. Step 6: Final answer
    x = 979.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.