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Finding the Fourth Proportional to 787.69, 1,086.70 and 456.06

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Solution

The fourth proportional to 787.69, 1,086.70 and 456.06 is: 629.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.69 : 1,086.70 = 456.06 : x
  2. Step 2: Convert to fraction form
    787.69/1,086.70 = 456.06/x
  3. Step 3: Cross multiply
    787.69x = 1,086.70 × 456.06
  4. Step 4: Simplify right side
    787.69x = 495,600.40
  5. Step 5: Solve for x
    x = 495,600.40/787.69
  6. Step 6: Final answer
    x = 629.18

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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.