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Finding the Fourth Proportional to 787.48, 1,180.38 and 300.52

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Solution

The fourth proportional to 787.48, 1,180.38 and 300.52 is: 450.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.48 : 1,180.38 = 300.52 : x
  2. Step 2: Convert to fraction form
    787.48/1,180.38 = 300.52/x
  3. Step 3: Cross multiply
    787.48x = 1,180.38 × 300.52
  4. Step 4: Simplify right side
    787.48x = 354,727.80
  5. Step 5: Solve for x
    x = 354,727.80/787.48
  6. Step 6: Final answer
    x = 450.46

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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.