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Finding the Fourth Proportional to 993.91, 1,370.08 and 783.71

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Solution

The fourth proportional to 993.91, 1,370.08 and 783.71 is: 1,080.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.91 : 1,370.08 = 783.71 : x
  2. Step 2: Convert to fraction form
    993.91/1,370.08 = 783.71/x
  3. Step 3: Cross multiply
    993.91x = 1,370.08 × 783.71
  4. Step 4: Simplify right side
    993.91x = 1,073,745.40
  5. Step 5: Solve for x
    x = 1,073,745.40/993.91
  6. Step 6: Final answer
    x = 1,080.32

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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.