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Finding the Fourth Proportional to 787.13, 1,180.69 and 274.13

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Solution

The fourth proportional to 787.13, 1,180.69 and 274.13 is: 411.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.13 : 1,180.69 = 274.13 : x
  2. Step 2: Convert to fraction form
    787.13/1,180.69 = 274.13/x
  3. Step 3: Cross multiply
    787.13x = 1,180.69 × 274.13
  4. Step 4: Simplify right side
    787.13x = 323,662.55
  5. Step 5: Solve for x
    x = 323,662.55/787.13
  6. Step 6: Final answer
    x = 411.19

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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.