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Finding the Fourth Proportional to 993.69, 1,361.45 and 956.84

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Solution

The fourth proportional to 993.69, 1,361.45 and 956.84 is: 1,310.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.69 : 1,361.45 = 956.84 : x
  2. Step 2: Convert to fraction form
    993.69/1,361.45 = 956.84/x
  3. Step 3: Cross multiply
    993.69x = 1,361.45 × 956.84
  4. Step 4: Simplify right side
    993.69x = 1,302,685.40
  5. Step 5: Solve for x
    x = 1,302,685.40/993.69
  6. Step 6: Final answer
    x = 1,310.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.