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Finding the Fourth Proportional to 1,550.04, 2,323.82 and 809.32

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Solution

The fourth proportional to 1,550.04, 2,323.82 and 809.32 is: 1,213.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.04 : 2,323.82 = 809.32 : x
  2. Step 2: Convert to fraction form
    1,550.04/2,323.82 = 809.32/x
  3. Step 3: Cross multiply
    1,550.04x = 2,323.82 × 809.32
  4. Step 4: Simplify right side
    1,550.04x = 1,880,714.00
  5. Step 5: Solve for x
    x = 1,880,714.00/1,550.04
  6. Step 6: Final answer
    x = 1,213.33

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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.