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Finding the Fourth Proportional to 993.98, 1,369.58 and 816.35

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Solution

The fourth proportional to 993.98, 1,369.58 and 816.35 is: 1,124.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.98 : 1,369.58 = 816.35 : x
  2. Step 2: Convert to fraction form
    993.98/1,369.58 = 816.35/x
  3. Step 3: Cross multiply
    993.98x = 1,369.58 × 816.35
  4. Step 4: Simplify right side
    993.98x = 1,118,045.70
  5. Step 5: Solve for x
    x = 1,118,045.70/993.98
  6. Step 6: Final answer
    x = 1,124.81

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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.