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Finding the Fourth Proportional to 1,004, 1,384.68 and 768.28

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Solution

The fourth proportional to 1,004, 1,384.68 and 768.28 is: 1,059.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004 : 1,384.68 = 768.28 : x
  2. Step 2: Convert to fraction form
    1,004/1,384.68 = 768.28/x
  3. Step 3: Cross multiply
    1,004x = 1,384.68 × 768.28
  4. Step 4: Simplify right side
    1,004x = 1,063,821.95
  5. Step 5: Solve for x
    x = 1,063,821.95/1,004
  6. Step 6: Final answer
    x = 1,059.58

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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.