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Finding the Fourth Proportional to 1,765.56, 2,647.71 and 532.65

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Solution

The fourth proportional to 1,765.56, 2,647.71 and 532.65 is: 798.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.56 : 2,647.71 = 532.65 : x
  2. Step 2: Convert to fraction form
    1,765.56/2,647.71 = 532.65/x
  3. Step 3: Cross multiply
    1,765.56x = 2,647.71 × 532.65
  4. Step 4: Simplify right side
    1,765.56x = 1,410,302.73
  5. Step 5: Solve for x
    x = 1,410,302.73/1,765.56
  6. Step 6: Final answer
    x = 798.78

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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.