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Finding the Fourth Proportional to 787.31, 1,180.59 and 300.20

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Solution

The fourth proportional to 787.31, 1,180.59 and 300.20 is: 450.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.31 : 1,180.59 = 300.20 : x
  2. Step 2: Convert to fraction form
    787.31/1,180.59 = 300.20/x
  3. Step 3: Cross multiply
    787.31x = 1,180.59 × 300.20
  4. Step 4: Simplify right side
    787.31x = 354,407.22
  5. Step 5: Solve for x
    x = 354,407.22/787.31
  6. Step 6: Final answer
    x = 450.15

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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.