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Finding the Fourth Proportional to 1,267.37, 1,901.04 and 487.71

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Solution

The fourth proportional to 1,267.37, 1,901.04 and 487.71 is: 731.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.37 : 1,901.04 = 487.71 : x
  2. Step 2: Convert to fraction form
    1,267.37/1,901.04 = 487.71/x
  3. Step 3: Cross multiply
    1,267.37x = 1,901.04 × 487.71
  4. Step 4: Simplify right side
    1,267.37x = 927,156.22
  5. Step 5: Solve for x
    x = 927,156.22/1,267.37
  6. Step 6: Final answer
    x = 731.56

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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.