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Finding the Fourth Proportional to 787.02, 1,180.50 and 512.94

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Solution

The fourth proportional to 787.02, 1,180.50 and 512.94 is: 769.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.02 : 1,180.50 = 512.94 : x
  2. Step 2: Convert to fraction form
    787.02/1,180.50 = 512.94/x
  3. Step 3: Cross multiply
    787.02x = 1,180.50 × 512.94
  4. Step 4: Simplify right side
    787.02x = 605,525.67
  5. Step 5: Solve for x
    x = 605,525.67/787.02
  6. Step 6: Final answer
    x = 769.39

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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.