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Finding the Fourth Proportional to 1,267.49, 1,902.08 and 445.77

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Solution

The fourth proportional to 1,267.49, 1,902.08 and 445.77 is: 668.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.49 : 1,902.08 = 445.77 : x
  2. Step 2: Convert to fraction form
    1,267.49/1,902.08 = 445.77/x
  3. Step 3: Cross multiply
    1,267.49x = 1,902.08 × 445.77
  4. Step 4: Simplify right side
    1,267.49x = 847,878.46
  5. Step 5: Solve for x
    x = 847,878.46/1,267.49
  6. Step 6: Final answer
    x = 668.95

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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.