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Finding the Fourth Proportional to 1,113.56, 1,667.74 and 564.41

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Solution

The fourth proportional to 1,113.56, 1,667.74 and 564.41 is: 845.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.56 : 1,667.74 = 564.41 : x
  2. Step 2: Convert to fraction form
    1,113.56/1,667.74 = 564.41/x
  3. Step 3: Cross multiply
    1,113.56x = 1,667.74 × 564.41
  4. Step 4: Simplify right side
    1,113.56x = 941,289.13
  5. Step 5: Solve for x
    x = 941,289.13/1,113.56
  6. Step 6: Final answer
    x = 845.30

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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.