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Finding the Fourth Proportional to 1,093.98, 1,639.38 and 572.82

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Solution

The fourth proportional to 1,093.98, 1,639.38 and 572.82 is: 858.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.98 : 1,639.38 = 572.82 : x
  2. Step 2: Convert to fraction form
    1,093.98/1,639.38 = 572.82/x
  3. Step 3: Cross multiply
    1,093.98x = 1,639.38 × 572.82
  4. Step 4: Simplify right side
    1,093.98x = 939,069.65
  5. Step 5: Solve for x
    x = 939,069.65/1,093.98
  6. Step 6: Final answer
    x = 858.40

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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.