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Finding the Fourth Proportional to 787.42, 1,086.77 and 456.05

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Solution

The fourth proportional to 787.42, 1,086.77 and 456.05 is: 629.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.42 : 1,086.77 = 456.05 : x
  2. Step 2: Convert to fraction form
    787.42/1,086.77 = 456.05/x
  3. Step 3: Cross multiply
    787.42x = 1,086.77 × 456.05
  4. Step 4: Simplify right side
    787.42x = 495,619.18
  5. Step 5: Solve for x
    x = 495,619.18/787.42
  6. Step 6: Final answer
    x = 629.42

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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.