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Finding the Fourth Proportional to 787.26, 1,180.90 and 210.14

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Solution

The fourth proportional to 787.26, 1,180.90 and 210.14 is: 315.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.26 : 1,180.90 = 210.14 : x
  2. Step 2: Convert to fraction form
    787.26/1,180.90 = 210.14/x
  3. Step 3: Cross multiply
    787.26x = 1,180.90 × 210.14
  4. Step 4: Simplify right side
    787.26x = 248,154.33
  5. Step 5: Solve for x
    x = 248,154.33/787.26
  6. Step 6: Final answer
    x = 315.21

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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.