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Finding the Fourth Proportional to 787.08, 1,086.28 and 566.76

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Solution

The fourth proportional to 787.08, 1,086.28 and 566.76 is: 782.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.08 : 1,086.28 = 566.76 : x
  2. Step 2: Convert to fraction form
    787.08/1,086.28 = 566.76/x
  3. Step 3: Cross multiply
    787.08x = 1,086.28 × 566.76
  4. Step 4: Simplify right side
    787.08x = 615,660.05
  5. Step 5: Solve for x
    x = 615,660.05/787.08
  6. Step 6: Final answer
    x = 782.21

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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.