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Finding the Fourth Proportional to 787.24, 1,086.51 and 492.35

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Solution

The fourth proportional to 787.24, 1,086.51 and 492.35 is: 679.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.24 : 1,086.51 = 492.35 : x
  2. Step 2: Convert to fraction form
    787.24/1,086.51 = 492.35/x
  3. Step 3: Cross multiply
    787.24x = 1,086.51 × 492.35
  4. Step 4: Simplify right side
    787.24x = 534,943.20
  5. Step 5: Solve for x
    x = 534,943.20/787.24
  6. Step 6: Final answer
    x = 679.52

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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.