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Finding the Fourth Proportional to 1,267.50, 1,901.42 and 445.58

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Solution

The fourth proportional to 1,267.50, 1,901.42 and 445.58 is: 668.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.50 : 1,901.42 = 445.58 : x
  2. Step 2: Convert to fraction form
    1,267.50/1,901.42 = 445.58/x
  3. Step 3: Cross multiply
    1,267.50x = 1,901.42 × 445.58
  4. Step 4: Simplify right side
    1,267.50x = 847,228.95
  5. Step 5: Solve for x
    x = 847,228.95/1,267.50
  6. Step 6: Final answer
    x = 668.43

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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.