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Finding the Fourth Proportional to 803.36, 1,109.62 and 581.96

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Solution

The fourth proportional to 803.36, 1,109.62 and 581.96 is: 803.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.36 : 1,109.62 = 581.96 : x
  2. Step 2: Convert to fraction form
    803.36/1,109.62 = 581.96/x
  3. Step 3: Cross multiply
    803.36x = 1,109.62 × 581.96
  4. Step 4: Simplify right side
    803.36x = 645,754.46
  5. Step 5: Solve for x
    x = 645,754.46/803.36
  6. Step 6: Final answer
    x = 803.82

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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.