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Finding the Fourth Proportional to 1,352.63, 2,027.72 and 486.74

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Solution

The fourth proportional to 1,352.63, 2,027.72 and 486.74 is: 729.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.63 : 2,027.72 = 486.74 : x
  2. Step 2: Convert to fraction form
    1,352.63/2,027.72 = 486.74/x
  3. Step 3: Cross multiply
    1,352.63x = 2,027.72 × 486.74
  4. Step 4: Simplify right side
    1,352.63x = 986,963.51
  5. Step 5: Solve for x
    x = 986,963.51/1,352.63
  6. Step 6: Final answer
    x = 729.67

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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.