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Finding the Fourth Proportional to 1,267.76, 1,900.91 and 390.03

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Solution

The fourth proportional to 1,267.76, 1,900.91 and 390.03 is: 584.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.76 : 1,900.91 = 390.03 : x
  2. Step 2: Convert to fraction form
    1,267.76/1,900.91 = 390.03/x
  3. Step 3: Cross multiply
    1,267.76x = 1,900.91 × 390.03
  4. Step 4: Simplify right side
    1,267.76x = 741,412.90
  5. Step 5: Solve for x
    x = 741,412.90/1,267.76
  6. Step 6: Final answer
    x = 584.82

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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.