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Finding the Fourth Proportional to 787.34, 1,086.24 and 492.50

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Solution

The fourth proportional to 787.34, 1,086.24 and 492.50 is: 679.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.34 : 1,086.24 = 492.50 : x
  2. Step 2: Convert to fraction form
    787.34/1,086.24 = 492.50/x
  3. Step 3: Cross multiply
    787.34x = 1,086.24 × 492.50
  4. Step 4: Simplify right side
    787.34x = 534,973.20
  5. Step 5: Solve for x
    x = 534,973.20/787.34
  6. Step 6: Final answer
    x = 679.47

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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.