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Finding the Fourth Proportional to 1,325.35, 1,828.86 and 727.74

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Solution

The fourth proportional to 1,325.35, 1,828.86 and 727.74 is: 1,004.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.35 : 1,828.86 = 727.74 : x
  2. Step 2: Convert to fraction form
    1,325.35/1,828.86 = 727.74/x
  3. Step 3: Cross multiply
    1,325.35x = 1,828.86 × 727.74
  4. Step 4: Simplify right side
    1,325.35x = 1,330,934.58
  5. Step 5: Solve for x
    x = 1,330,934.58/1,325.35
  6. Step 6: Final answer
    x = 1,004.22

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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.