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Finding the Fourth Proportional to 1,188.75, 1,640.48 and 723.09

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Solution

The fourth proportional to 1,188.75, 1,640.48 and 723.09 is: 997.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.75 : 1,640.48 = 723.09 : x
  2. Step 2: Convert to fraction form
    1,188.75/1,640.48 = 723.09/x
  3. Step 3: Cross multiply
    1,188.75x = 1,640.48 × 723.09
  4. Step 4: Simplify right side
    1,188.75x = 1,186,211.07
  5. Step 5: Solve for x
    x = 1,186,211.07/1,188.75
  6. Step 6: Final answer
    x = 997.86

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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.