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Finding the Fourth Proportional to 1,267.63, 1,901.15 and 487.37

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Solution

The fourth proportional to 1,267.63, 1,901.15 and 487.37 is: 730.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.63 : 1,901.15 = 487.37 : x
  2. Step 2: Convert to fraction form
    1,267.63/1,901.15 = 487.37/x
  3. Step 3: Cross multiply
    1,267.63x = 1,901.15 × 487.37
  4. Step 4: Simplify right side
    1,267.63x = 926,561.04
  5. Step 5: Solve for x
    x = 926,561.04/1,267.63
  6. Step 6: Final answer
    x = 730.94

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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.