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Finding the Fourth Proportional to 923.03, 1,383.31 and 687.72

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Solution

The fourth proportional to 923.03, 1,383.31 and 687.72 is: 1,030.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.03 : 1,383.31 = 687.72 : x
  2. Step 2: Convert to fraction form
    923.03/1,383.31 = 687.72/x
  3. Step 3: Cross multiply
    923.03x = 1,383.31 × 687.72
  4. Step 4: Simplify right side
    923.03x = 951,329.95
  5. Step 5: Solve for x
    x = 951,329.95/923.03
  6. Step 6: Final answer
    x = 1,030.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.