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Finding the Fourth Proportional to 1,352.64, 2,027.76 and 486.88

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Solution

The fourth proportional to 1,352.64, 2,027.76 and 486.88 is: 729.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.64 : 2,027.76 = 486.88 : x
  2. Step 2: Convert to fraction form
    1,352.64/2,027.76 = 486.88/x
  3. Step 3: Cross multiply
    1,352.64x = 2,027.76 × 486.88
  4. Step 4: Simplify right side
    1,352.64x = 987,275.79
  5. Step 5: Solve for x
    x = 987,275.79/1,352.64
  6. Step 6: Final answer
    x = 729.89

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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.