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Finding the Fourth Proportional to 1,267.25, 1,901.07 and 536.83

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Solution

The fourth proportional to 1,267.25, 1,901.07 and 536.83 is: 805.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.25 : 1,901.07 = 536.83 : x
  2. Step 2: Convert to fraction form
    1,267.25/1,901.07 = 536.83/x
  3. Step 3: Cross multiply
    1,267.25x = 1,901.07 × 536.83
  4. Step 4: Simplify right side
    1,267.25x = 1,020,546.66
  5. Step 5: Solve for x
    x = 1,020,546.66/1,267.25
  6. Step 6: Final answer
    x = 805.33

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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.