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Finding the Fourth Proportional to 1,765.36, 2,647.93 and 532.81

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Solution

The fourth proportional to 1,765.36, 2,647.93 and 532.81 is: 799.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.36 : 2,647.93 = 532.81 : x
  2. Step 2: Convert to fraction form
    1,765.36/2,647.93 = 532.81/x
  3. Step 3: Cross multiply
    1,765.36x = 2,647.93 × 532.81
  4. Step 4: Simplify right side
    1,765.36x = 1,410,843.58
  5. Step 5: Solve for x
    x = 1,410,843.58/1,765.36
  6. Step 6: Final answer
    x = 799.18

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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.