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Finding the Fourth Proportional to 1,084.81, 1,628.09 and 564.97

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Solution

The fourth proportional to 1,084.81, 1,628.09 and 564.97 is: 847.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.81 : 1,628.09 = 564.97 : x
  2. Step 2: Convert to fraction form
    1,084.81/1,628.09 = 564.97/x
  3. Step 3: Cross multiply
    1,084.81x = 1,628.09 × 564.97
  4. Step 4: Simplify right side
    1,084.81x = 919,822.01
  5. Step 5: Solve for x
    x = 919,822.01/1,084.81
  6. Step 6: Final answer
    x = 847.91

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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.