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Finding the Fourth Proportional to 1,103.24, 1,653.71 and 810.31

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Solution

The fourth proportional to 1,103.24, 1,653.71 and 810.31 is: 1,214.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.24 : 1,653.71 = 810.31 : x
  2. Step 2: Convert to fraction form
    1,103.24/1,653.71 = 810.31/x
  3. Step 3: Cross multiply
    1,103.24x = 1,653.71 × 810.31
  4. Step 4: Simplify right side
    1,103.24x = 1,340,005.43
  5. Step 5: Solve for x
    x = 1,340,005.43/1,103.24
  6. Step 6: Final answer
    x = 1,214.61

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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.