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Finding the Fourth Proportional to 1,113.03, 1,667.11 and 564.27

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Solution

The fourth proportional to 1,113.03, 1,667.11 and 564.27 is: 845.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.03 : 1,667.11 = 564.27 : x
  2. Step 2: Convert to fraction form
    1,113.03/1,667.11 = 564.27/x
  3. Step 3: Cross multiply
    1,113.03x = 1,667.11 × 564.27
  4. Step 4: Simplify right side
    1,113.03x = 940,700.16
  5. Step 5: Solve for x
    x = 940,700.16/1,113.03
  6. Step 6: Final answer
    x = 845.17

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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.