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Finding the Fourth Proportional to 787.50, 1,180.83 and 509.82

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Solution

The fourth proportional to 787.50, 1,180.83 and 509.82 is: 764.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.50 : 1,180.83 = 509.82 : x
  2. Step 2: Convert to fraction form
    787.50/1,180.83 = 509.82/x
  3. Step 3: Cross multiply
    787.50x = 1,180.83 × 509.82
  4. Step 4: Simplify right side
    787.50x = 602,010.75
  5. Step 5: Solve for x
    x = 602,010.75/787.50
  6. Step 6: Final answer
    x = 764.46

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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.