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Finding the Fourth Proportional to 941.03, 1,411.57 and 803.21

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Solution

The fourth proportional to 941.03, 1,411.57 and 803.21 is: 1,204.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.03 : 1,411.57 = 803.21 : x
  2. Step 2: Convert to fraction form
    941.03/1,411.57 = 803.21/x
  3. Step 3: Cross multiply
    941.03x = 1,411.57 × 803.21
  4. Step 4: Simplify right side
    941.03x = 1,133,781.09
  5. Step 5: Solve for x
    x = 1,133,781.09/941.03
  6. Step 6: Final answer
    x = 1,204.83

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Why These Related Problems?

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