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Finding the Fourth Proportional to 1,303.98, 1,789.62 and 1,267.53

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Solution

The fourth proportional to 1,303.98, 1,789.62 and 1,267.53 is: 1,739.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,303.98 : 1,789.62 = 1,267.53 : x
  2. Step 2: Convert to fraction form
    1,303.98/1,789.62 = 1,267.53/x
  3. Step 3: Cross multiply
    1,303.98x = 1,789.62 × 1,267.53
  4. Step 4: Simplify right side
    1,303.98x = 2,268,397.04
  5. Step 5: Solve for x
    x = 2,268,397.04/1,303.98
  6. Step 6: Final answer
    x = 1,739.59

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.