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Finding the Fourth Proportional to 1,555.12, 2,331.04 and 580.82

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Solution

The fourth proportional to 1,555.12, 2,331.04 and 580.82 is: 870.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555.12 : 2,331.04 = 580.82 : x
  2. Step 2: Convert to fraction form
    1,555.12/2,331.04 = 580.82/x
  3. Step 3: Cross multiply
    1,555.12x = 2,331.04 × 580.82
  4. Step 4: Simplify right side
    1,555.12x = 1,353,914.65
  5. Step 5: Solve for x
    x = 1,353,914.65/1,555.12
  6. Step 6: Final answer
    x = 870.62

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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.