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Finding the Fourth Proportional to 923.63, 1,384.22 and 455.36

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Solution

The fourth proportional to 923.63, 1,384.22 and 455.36 is: 682.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.63 : 1,384.22 = 455.36 : x
  2. Step 2: Convert to fraction form
    923.63/1,384.22 = 455.36/x
  3. Step 3: Cross multiply
    923.63x = 1,384.22 × 455.36
  4. Step 4: Simplify right side
    923.63x = 630,312.64
  5. Step 5: Solve for x
    x = 630,312.64/923.63
  6. Step 6: Final answer
    x = 682.43

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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.