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Finding the Fourth Proportional to 1,054.67, 1,579.04 and 559.96

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Solution

The fourth proportional to 1,054.67, 1,579.04 and 559.96 is: 838.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.67 : 1,579.04 = 559.96 : x
  2. Step 2: Convert to fraction form
    1,054.67/1,579.04 = 559.96/x
  3. Step 3: Cross multiply
    1,054.67x = 1,579.04 × 559.96
  4. Step 4: Simplify right side
    1,054.67x = 884,194.59
  5. Step 5: Solve for x
    x = 884,194.59/1,054.67
  6. Step 6: Final answer
    x = 838.37

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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.