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Finding the Fourth Proportional to 923.37, 1,273.64 and 736.53

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Solution

The fourth proportional to 923.37, 1,273.64 and 736.53 is: 1,015.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.37 : 1,273.64 = 736.53 : x
  2. Step 2: Convert to fraction form
    923.37/1,273.64 = 736.53/x
  3. Step 3: Cross multiply
    923.37x = 1,273.64 × 736.53
  4. Step 4: Simplify right side
    923.37x = 938,070.39
  5. Step 5: Solve for x
    x = 938,070.39/923.37
  6. Step 6: Final answer
    x = 1,015.92

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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.