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Finding the Fourth Proportional to 787.10, 1,085.76 and 492.54

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Solution

The fourth proportional to 787.10, 1,085.76 and 492.54 is: 679.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.10 : 1,085.76 = 492.54 : x
  2. Step 2: Convert to fraction form
    787.10/1,085.76 = 492.54/x
  3. Step 3: Cross multiply
    787.10x = 1,085.76 × 492.54
  4. Step 4: Simplify right side
    787.10x = 534,780.23
  5. Step 5: Solve for x
    x = 534,780.23/787.10
  6. Step 6: Final answer
    x = 679.43

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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.