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Finding the Fourth Proportional to 701.79, 1,052.67 and 188.79

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Solution

The fourth proportional to 701.79, 1,052.67 and 188.79 is: 283.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.79 : 1,052.67 = 188.79 : x
  2. Step 2: Convert to fraction form
    701.79/1,052.67 = 188.79/x
  3. Step 3: Cross multiply
    701.79x = 1,052.67 × 188.79
  4. Step 4: Simplify right side
    701.79x = 198,728.31
  5. Step 5: Solve for x
    x = 198,728.31/701.79
  6. Step 6: Final answer
    x = 283.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.