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Finding the Fourth Proportional to 982.38, 1,354.44 and 719.94

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Solution

The fourth proportional to 982.38, 1,354.44 and 719.94 is: 992.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.38 : 1,354.44 = 719.94 : x
  2. Step 2: Convert to fraction form
    982.38/1,354.44 = 719.94/x
  3. Step 3: Cross multiply
    982.38x = 1,354.44 × 719.94
  4. Step 4: Simplify right side
    982.38x = 975,115.53
  5. Step 5: Solve for x
    x = 975,115.53/982.38
  6. Step 6: Final answer
    x = 992.61

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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.