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Finding the Fourth Proportional to 1,135.53, 1,566.44 and 804.41

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Solution

The fourth proportional to 1,135.53, 1,566.44 and 804.41 is: 1,109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.53 : 1,566.44 = 804.41 : x
  2. Step 2: Convert to fraction form
    1,135.53/1,566.44 = 804.41/x
  3. Step 3: Cross multiply
    1,135.53x = 1,566.44 × 804.41
  4. Step 4: Simplify right side
    1,135.53x = 1,260,052.63
  5. Step 5: Solve for x
    x = 1,260,052.63/1,135.53
  6. Step 6: Final answer
    x = 1,109.66

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Why These Related Problems?

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