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Finding the Fourth Proportional to 818.34, 1,219.23 and 777.03

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Solution

The fourth proportional to 818.34, 1,219.23 and 777.03 is: 1,157.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.34 : 1,219.23 = 777.03 : x
  2. Step 2: Convert to fraction form
    818.34/1,219.23 = 777.03/x
  3. Step 3: Cross multiply
    818.34x = 1,219.23 × 777.03
  4. Step 4: Simplify right side
    818.34x = 947,378.29
  5. Step 5: Solve for x
    x = 947,378.29/818.34
  6. Step 6: Final answer
    x = 1,157.68

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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.