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Finding the Fourth Proportional to 1,027.03, 1,538.64 and 564.13

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Solution

The fourth proportional to 1,027.03, 1,538.64 and 564.13 is: 845.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.03 : 1,538.64 = 564.13 : x
  2. Step 2: Convert to fraction form
    1,027.03/1,538.64 = 564.13/x
  3. Step 3: Cross multiply
    1,027.03x = 1,538.64 × 564.13
  4. Step 4: Simplify right side
    1,027.03x = 867,992.98
  5. Step 5: Solve for x
    x = 867,992.98/1,027.03
  6. Step 6: Final answer
    x = 845.15

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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.