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Finding the Fourth Proportional to 787.81, 1,086.93 and 456.15

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Solution

The fourth proportional to 787.81, 1,086.93 and 456.15 is: 629.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.81 : 1,086.93 = 456.15 : x
  2. Step 2: Convert to fraction form
    787.81/1,086.93 = 456.15/x
  3. Step 3: Cross multiply
    787.81x = 1,086.93 × 456.15
  4. Step 4: Simplify right side
    787.81x = 495,803.12
  5. Step 5: Solve for x
    x = 495,803.12/787.81
  6. Step 6: Final answer
    x = 629.34

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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.