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Finding the Fourth Proportional to 1,055.09, 1,584.69 and 860.24

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Solution

The fourth proportional to 1,055.09, 1,584.69 and 860.24 is: 1,292.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.09 : 1,584.69 = 860.24 : x
  2. Step 2: Convert to fraction form
    1,055.09/1,584.69 = 860.24/x
  3. Step 3: Cross multiply
    1,055.09x = 1,584.69 × 860.24
  4. Step 4: Simplify right side
    1,055.09x = 1,363,213.73
  5. Step 5: Solve for x
    x = 1,363,213.73/1,055.09
  6. Step 6: Final answer
    x = 1,292.04

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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.