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Finding the Fourth Proportional to 923.43, 1,381.89 and 705.27

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Solution

The fourth proportional to 923.43, 1,381.89 and 705.27 is: 1,055.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.43 : 1,381.89 = 705.27 : x
  2. Step 2: Convert to fraction form
    923.43/1,381.89 = 705.27/x
  3. Step 3: Cross multiply
    923.43x = 1,381.89 × 705.27
  4. Step 4: Simplify right side
    923.43x = 974,605.56
  5. Step 5: Solve for x
    x = 974,605.56/923.43
  6. Step 6: Final answer
    x = 1,055.42

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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.