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Finding the Fourth Proportional to 1,027.07, 1,538.16 and 564.17

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Solution

The fourth proportional to 1,027.07, 1,538.16 and 564.17 is: 844.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.07 : 1,538.16 = 564.17 : x
  2. Step 2: Convert to fraction form
    1,027.07/1,538.16 = 564.17/x
  3. Step 3: Cross multiply
    1,027.07x = 1,538.16 × 564.17
  4. Step 4: Simplify right side
    1,027.07x = 867,783.73
  5. Step 5: Solve for x
    x = 867,783.73/1,027.07
  6. Step 6: Final answer
    x = 844.91

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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.