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Finding the Fourth Proportional to 787.50, 1,086.81 and 472.78

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Solution

The fourth proportional to 787.50, 1,086.81 and 472.78 is: 652.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.50 : 1,086.81 = 472.78 : x
  2. Step 2: Convert to fraction form
    787.50/1,086.81 = 472.78/x
  3. Step 3: Cross multiply
    787.50x = 1,086.81 × 472.78
  4. Step 4: Simplify right side
    787.50x = 513,822.03
  5. Step 5: Solve for x
    x = 513,822.03/787.50
  6. Step 6: Final answer
    x = 652.47

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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.