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Finding the Fourth Proportional to 1,027.16, 1,540.88 and 377.84

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Solution

The fourth proportional to 1,027.16, 1,540.88 and 377.84 is: 566.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.16 : 1,540.88 = 377.84 : x
  2. Step 2: Convert to fraction form
    1,027.16/1,540.88 = 377.84/x
  3. Step 3: Cross multiply
    1,027.16x = 1,540.88 × 377.84
  4. Step 4: Simplify right side
    1,027.16x = 582,199.34
  5. Step 5: Solve for x
    x = 582,199.34/1,027.16
  6. Step 6: Final answer
    x = 566.81

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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.