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Finding the Fourth Proportional to 1,027.54, 1,541.82 and 479.76

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Solution

The fourth proportional to 1,027.54, 1,541.82 and 479.76 is: 719.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.54 : 1,541.82 = 479.76 : x
  2. Step 2: Convert to fraction form
    1,027.54/1,541.82 = 479.76/x
  3. Step 3: Cross multiply
    1,027.54x = 1,541.82 × 479.76
  4. Step 4: Simplify right side
    1,027.54x = 739,703.56
  5. Step 5: Solve for x
    x = 739,703.56/1,027.54
  6. Step 6: Final answer
    x = 719.88

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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.