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Finding the Fourth Proportional to 923.36, 1,384.04 and 455.15

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Solution

The fourth proportional to 923.36, 1,384.04 and 455.15 is: 682.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.36 : 1,384.04 = 455.15 : x
  2. Step 2: Convert to fraction form
    923.36/1,384.04 = 455.15/x
  3. Step 3: Cross multiply
    923.36x = 1,384.04 × 455.15
  4. Step 4: Simplify right side
    923.36x = 629,945.81
  5. Step 5: Solve for x
    x = 629,945.81/923.36
  6. Step 6: Final answer
    x = 682.23

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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.