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Finding the Fourth Proportional to 787.06, 1,086.22 and 476.50

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Solution

The fourth proportional to 787.06, 1,086.22 and 476.50 is: 657.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.06 : 1,086.22 = 476.50 : x
  2. Step 2: Convert to fraction form
    787.06/1,086.22 = 476.50/x
  3. Step 3: Cross multiply
    787.06x = 1,086.22 × 476.50
  4. Step 4: Simplify right side
    787.06x = 517,583.83
  5. Step 5: Solve for x
    x = 517,583.83/787.06
  6. Step 6: Final answer
    x = 657.62

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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.