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Finding the Fourth Proportional to 698.37, 1,046.61 and 492.45

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Solution

The fourth proportional to 698.37, 1,046.61 and 492.45 is: 738.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.37 : 1,046.61 = 492.45 : x
  2. Step 2: Convert to fraction form
    698.37/1,046.61 = 492.45/x
  3. Step 3: Cross multiply
    698.37x = 1,046.61 × 492.45
  4. Step 4: Simplify right side
    698.37x = 515,403.09
  5. Step 5: Solve for x
    x = 515,403.09/698.37
  6. Step 6: Final answer
    x = 738.01

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