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Finding the Fourth Proportional to 1,325.22, 1,828.77 and 765.68

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Solution

The fourth proportional to 1,325.22, 1,828.77 and 765.68 is: 1,056.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.22 : 1,828.77 = 765.68 : x
  2. Step 2: Convert to fraction form
    1,325.22/1,828.77 = 765.68/x
  3. Step 3: Cross multiply
    1,325.22x = 1,828.77 × 765.68
  4. Step 4: Simplify right side
    1,325.22x = 1,400,252.61
  5. Step 5: Solve for x
    x = 1,400,252.61/1,325.22
  6. Step 6: Final answer
    x = 1,056.62

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