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Finding the Fourth Proportional to 1,036.74, 1,555.44 and 306.33

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Solution

The fourth proportional to 1,036.74, 1,555.44 and 306.33 is: 459.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.74 : 1,555.44 = 306.33 : x
  2. Step 2: Convert to fraction form
    1,036.74/1,555.44 = 306.33/x
  3. Step 3: Cross multiply
    1,036.74x = 1,555.44 × 306.33
  4. Step 4: Simplify right side
    1,036.74x = 476,477.94
  5. Step 5: Solve for x
    x = 476,477.94/1,036.74
  6. Step 6: Final answer
    x = 459.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.