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Finding the Fourth Proportional to 1,352.60, 1,866.44 and 763

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Solution

The fourth proportional to 1,352.60, 1,866.44 and 763 is: 1,052.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.60 : 1,866.44 = 763 : x
  2. Step 2: Convert to fraction form
    1,352.60/1,866.44 = 763/x
  3. Step 3: Cross multiply
    1,352.60x = 1,866.44 × 763
  4. Step 4: Simplify right side
    1,352.60x = 1,424,093.72
  5. Step 5: Solve for x
    x = 1,424,093.72/1,352.60
  6. Step 6: Final answer
    x = 1,052.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.