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Finding the Fourth Proportional to 1,188.75, 1,640.67 and 723.27

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Solution

The fourth proportional to 1,188.75, 1,640.67 and 723.27 is: 998.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.75 : 1,640.67 = 723.27 : x
  2. Step 2: Convert to fraction form
    1,188.75/1,640.67 = 723.27/x
  3. Step 3: Cross multiply
    1,188.75x = 1,640.67 × 723.27
  4. Step 4: Simplify right side
    1,188.75x = 1,186,647.39
  5. Step 5: Solve for x
    x = 1,186,647.39/1,188.75
  6. Step 6: Final answer
    x = 998.23

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1.5x scale

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.