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Finding the Fourth Proportional to 985.96, 1,479.08 and 466.46

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Solution

The fourth proportional to 985.96, 1,479.08 and 466.46 is: 699.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.96 : 1,479.08 = 466.46 : x
  2. Step 2: Convert to fraction form
    985.96/1,479.08 = 466.46/x
  3. Step 3: Cross multiply
    985.96x = 1,479.08 × 466.46
  4. Step 4: Simplify right side
    985.96x = 689,936.52
  5. Step 5: Solve for x
    x = 689,936.52/985.96
  6. Step 6: Final answer
    x = 699.76

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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.