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Finding the Fourth Proportional to 942.83, 1,302.11 and 735.47

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Solution

The fourth proportional to 942.83, 1,302.11 and 735.47 is: 1,015.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.83 : 1,302.11 = 735.47 : x
  2. Step 2: Convert to fraction form
    942.83/1,302.11 = 735.47/x
  3. Step 3: Cross multiply
    942.83x = 1,302.11 × 735.47
  4. Step 4: Simplify right side
    942.83x = 957,662.84
  5. Step 5: Solve for x
    x = 957,662.84/942.83
  6. Step 6: Final answer
    x = 1,015.73

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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.