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Finding the Fourth Proportional to 1,027.05, 1,540.21 and 296.64

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Solution

The fourth proportional to 1,027.05, 1,540.21 and 296.64 is: 444.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.05 : 1,540.21 = 296.64 : x
  2. Step 2: Convert to fraction form
    1,027.05/1,540.21 = 296.64/x
  3. Step 3: Cross multiply
    1,027.05x = 1,540.21 × 296.64
  4. Step 4: Simplify right side
    1,027.05x = 456,887.89
  5. Step 5: Solve for x
    x = 456,887.89/1,027.05
  6. Step 6: Final answer
    x = 444.85

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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.