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Finding the Fourth Proportional to 993.80, 1,370.58 and 713.90

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Solution

The fourth proportional to 993.80, 1,370.58 and 713.90 is: 984.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.80 : 1,370.58 = 713.90 : x
  2. Step 2: Convert to fraction form
    993.80/1,370.58 = 713.90/x
  3. Step 3: Cross multiply
    993.80x = 1,370.58 × 713.90
  4. Step 4: Simplify right side
    993.80x = 978,457.06
  5. Step 5: Solve for x
    x = 978,457.06/993.80
  6. Step 6: Final answer
    x = 984.56

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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.