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Finding the Fourth Proportional to 941.87, 1,406.04 and 818.88

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Solution

The fourth proportional to 941.87, 1,406.04 and 818.88 is: 1,222.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.87 : 1,406.04 = 818.88 : x
  2. Step 2: Convert to fraction form
    941.87/1,406.04 = 818.88/x
  3. Step 3: Cross multiply
    941.87x = 1,406.04 × 818.88
  4. Step 4: Simplify right side
    941.87x = 1,151,378.04
  5. Step 5: Solve for x
    x = 1,151,378.04/941.87
  6. Step 6: Final answer
    x = 1,222.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.