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Finding the Fourth Proportional to 1,830.65, 2,745.67 and 597.79

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Solution

The fourth proportional to 1,830.65, 2,745.67 and 597.79 is: 896.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.65 : 2,745.67 = 597.79 : x
  2. Step 2: Convert to fraction form
    1,830.65/2,745.67 = 597.79/x
  3. Step 3: Cross multiply
    1,830.65x = 2,745.67 × 597.79
  4. Step 4: Simplify right side
    1,830.65x = 1,641,334.07
  5. Step 5: Solve for x
    x = 1,641,334.07/1,830.65
  6. Step 6: Final answer
    x = 896.59

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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.