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Finding the Fourth Proportional to 993.08, 1,371.52 and 774.64

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Solution

The fourth proportional to 993.08, 1,371.52 and 774.64 is: 1,069.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.08 : 1,371.52 = 774.64 : x
  2. Step 2: Convert to fraction form
    993.08/1,371.52 = 774.64/x
  3. Step 3: Cross multiply
    993.08x = 1,371.52 × 774.64
  4. Step 4: Simplify right side
    993.08x = 1,062,434.25
  5. Step 5: Solve for x
    x = 1,062,434.25/993.08
  6. Step 6: Final answer
    x = 1,069.84

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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.