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Finding the Fourth Proportional to 787.97, 1,087.46 and 438.66

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Solution

The fourth proportional to 787.97, 1,087.46 and 438.66 is: 605.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.97 : 1,087.46 = 438.66 : x
  2. Step 2: Convert to fraction form
    787.97/1,087.46 = 438.66/x
  3. Step 3: Cross multiply
    787.97x = 1,087.46 × 438.66
  4. Step 4: Simplify right side
    787.97x = 477,025.20
  5. Step 5: Solve for x
    x = 477,025.20/787.97
  6. Step 6: Final answer
    x = 605.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.