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Finding the Fourth Proportional to 1,288, 1,932 and 604

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Solution

The fourth proportional to 1,288, 1,932 and 604 is: 906

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288 : 1,932 = 604 : x
  2. Step 2: Convert to fraction form
    1,288/1,932 = 604/x
  3. Step 3: Cross multiply
    1,288x = 1,932 × 604
  4. Step 4: Simplify right side
    1,288x = 1,166,928
  5. Step 5: Solve for x
    x = 1,166,928/1,288
  6. Step 6: Final answer
    x = 906

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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.