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Finding the Fourth Proportional to 1,458.25, 2,185.85 and 580.73

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Solution

The fourth proportional to 1,458.25, 2,185.85 and 580.73 is: 870.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.25 : 2,185.85 = 580.73 : x
  2. Step 2: Convert to fraction form
    1,458.25/2,185.85 = 580.73/x
  3. Step 3: Cross multiply
    1,458.25x = 2,185.85 × 580.73
  4. Step 4: Simplify right side
    1,458.25x = 1,269,379.19
  5. Step 5: Solve for x
    x = 1,269,379.19/1,458.25
  6. Step 6: Final answer
    x = 870.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.