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Finding the Fourth Proportional to 984.96, 1,478.34 and 498.35

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Solution

The fourth proportional to 984.96, 1,478.34 and 498.35 is: 747.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.96 : 1,478.34 = 498.35 : x
  2. Step 2: Convert to fraction form
    984.96/1,478.34 = 498.35/x
  3. Step 3: Cross multiply
    984.96x = 1,478.34 × 498.35
  4. Step 4: Simplify right side
    984.96x = 736,723.35
  5. Step 5: Solve for x
    x = 736,723.35/984.96
  6. Step 6: Final answer
    x = 747.97

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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.