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Finding the Fourth Proportional to 787.12, 1,086.33 and 566.80

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Solution

The fourth proportional to 787.12, 1,086.33 and 566.80 is: 782.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.12 : 1,086.33 = 566.80 : x
  2. Step 2: Convert to fraction form
    787.12/1,086.33 = 566.80/x
  3. Step 3: Cross multiply
    787.12x = 1,086.33 × 566.80
  4. Step 4: Simplify right side
    787.12x = 615,731.84
  5. Step 5: Solve for x
    x = 615,731.84/787.12
  6. Step 6: Final answer
    x = 782.26

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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.