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Finding the Fourth Proportional to 698.50, 1,046.60 and 492.64

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Solution

The fourth proportional to 698.50, 1,046.60 and 492.64 is: 738.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.50 : 1,046.60 = 492.64 : x
  2. Step 2: Convert to fraction form
    698.50/1,046.60 = 492.64/x
  3. Step 3: Cross multiply
    698.50x = 1,046.60 × 492.64
  4. Step 4: Simplify right side
    698.50x = 515,595.23
  5. Step 5: Solve for x
    x = 515,595.23/698.50
  6. Step 6: Final answer
    x = 738.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.