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Finding the Fourth Proportional to 818.59, 1,219.60 and 777.28

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Solution

The fourth proportional to 818.59, 1,219.60 and 777.28 is: 1,158.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.59 : 1,219.60 = 777.28 : x
  2. Step 2: Convert to fraction form
    818.59/1,219.60 = 777.28/x
  3. Step 3: Cross multiply
    818.59x = 1,219.60 × 777.28
  4. Step 4: Simplify right side
    818.59x = 947,972.63
  5. Step 5: Solve for x
    x = 947,972.63/818.59
  6. Step 6: Final answer
    x = 1,158.06

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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.