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Finding the Fourth Proportional to 1,290.74, 1,936.56 and 559.94

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Solution

The fourth proportional to 1,290.74, 1,936.56 and 559.94 is: 840.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.74 : 1,936.56 = 559.94 : x
  2. Step 2: Convert to fraction form
    1,290.74/1,936.56 = 559.94/x
  3. Step 3: Cross multiply
    1,290.74x = 1,936.56 × 559.94
  4. Step 4: Simplify right side
    1,290.74x = 1,084,357.41
  5. Step 5: Solve for x
    x = 1,084,357.41/1,290.74
  6. Step 6: Final answer
    x = 840.11

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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.