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Finding the Fourth Proportional to 1,267.40, 1,900.86 and 445.48

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Solution

The fourth proportional to 1,267.40, 1,900.86 and 445.48 is: 668.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.40 : 1,900.86 = 445.48 : x
  2. Step 2: Convert to fraction form
    1,267.40/1,900.86 = 445.48/x
  3. Step 3: Cross multiply
    1,267.40x = 1,900.86 × 445.48
  4. Step 4: Simplify right side
    1,267.40x = 846,795.11
  5. Step 5: Solve for x
    x = 846,795.11/1,267.40
  6. Step 6: Final answer
    x = 668.14

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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.