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Finding the Fourth Proportional to 941.76, 1,409.76 and 804.96

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Solution

The fourth proportional to 941.76, 1,409.76 and 804.96 is: 1,204.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.76 : 1,409.76 = 804.96 : x
  2. Step 2: Convert to fraction form
    941.76/1,409.76 = 804.96/x
  3. Step 3: Cross multiply
    941.76x = 1,409.76 × 804.96
  4. Step 4: Simplify right side
    941.76x = 1,134,800.41
  5. Step 5: Solve for x
    x = 1,134,800.41/941.76
  6. Step 6: Final answer
    x = 1,204.98

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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.