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Finding the Fourth Proportional to 1,267.74, 1,900.80 and 487.31

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Solution

The fourth proportional to 1,267.74, 1,900.80 and 487.31 is: 730.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.74 : 1,900.80 = 487.31 : x
  2. Step 2: Convert to fraction form
    1,267.74/1,900.80 = 487.31/x
  3. Step 3: Cross multiply
    1,267.74x = 1,900.80 × 487.31
  4. Step 4: Simplify right side
    1,267.74x = 926,269.34
  5. Step 5: Solve for x
    x = 926,269.34/1,267.74
  6. Step 6: Final answer
    x = 730.65

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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.