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Finding the Fourth Proportional to 1,365.30, 2,046.33 and 817.74

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Solution

The fourth proportional to 1,365.30, 2,046.33 and 817.74 is: 1,225.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.30 : 2,046.33 = 817.74 : x
  2. Step 2: Convert to fraction form
    1,365.30/2,046.33 = 817.74/x
  3. Step 3: Cross multiply
    1,365.30x = 2,046.33 × 817.74
  4. Step 4: Simplify right side
    1,365.30x = 1,673,365.89
  5. Step 5: Solve for x
    x = 1,673,365.89/1,365.30
  6. Step 6: Final answer
    x = 1,225.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.