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Finding the Fourth Proportional to 923.48, 1,271.01 and 736.37

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Solution

The fourth proportional to 923.48, 1,271.01 and 736.37 is: 1,013.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.48 : 1,271.01 = 736.37 : x
  2. Step 2: Convert to fraction form
    923.48/1,271.01 = 736.37/x
  3. Step 3: Cross multiply
    923.48x = 1,271.01 × 736.37
  4. Step 4: Simplify right side
    923.48x = 935,933.63
  5. Step 5: Solve for x
    x = 935,933.63/923.48
  6. Step 6: Final answer
    x = 1,013.49

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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.