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Finding the Fourth Proportional to 787.09, 1,086.30 and 566.77

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Solution

The fourth proportional to 787.09, 1,086.30 and 566.77 is: 782.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.09 : 1,086.30 = 566.77 : x
  2. Step 2: Convert to fraction form
    787.09/1,086.30 = 566.77/x
  3. Step 3: Cross multiply
    787.09x = 1,086.30 × 566.77
  4. Step 4: Simplify right side
    787.09x = 615,682.25
  5. Step 5: Solve for x
    x = 615,682.25/787.09
  6. Step 6: Final answer
    x = 782.23

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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.