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Finding the Fourth Proportional to 1,863.37, 2,795.05 and 564.84

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Solution

The fourth proportional to 1,863.37, 2,795.05 and 564.84 is: 847.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.37 : 2,795.05 = 564.84 : x
  2. Step 2: Convert to fraction form
    1,863.37/2,795.05 = 564.84/x
  3. Step 3: Cross multiply
    1,863.37x = 2,795.05 × 564.84
  4. Step 4: Simplify right side
    1,863.37x = 1,578,756.04
  5. Step 5: Solve for x
    x = 1,578,756.04/1,863.37
  6. Step 6: Final answer
    x = 847.26

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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.