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Finding the Fourth Proportional to 1,027.05, 1,540.75 and 565.05

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Solution

The fourth proportional to 1,027.05, 1,540.75 and 565.05 is: 847.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.05 : 1,540.75 = 565.05 : x
  2. Step 2: Convert to fraction form
    1,027.05/1,540.75 = 565.05/x
  3. Step 3: Cross multiply
    1,027.05x = 1,540.75 × 565.05
  4. Step 4: Simplify right side
    1,027.05x = 870,600.08
  5. Step 5: Solve for x
    x = 870,600.08/1,027.05
  6. Step 6: Final answer
    x = 847.67

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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.