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Finding the Fourth Proportional to 708.40, 1,062.48 and 188.41

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Solution

The fourth proportional to 708.40, 1,062.48 and 188.41 is: 282.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.40 : 1,062.48 = 188.41 : x
  2. Step 2: Convert to fraction form
    708.40/1,062.48 = 188.41/x
  3. Step 3: Cross multiply
    708.40x = 1,062.48 × 188.41
  4. Step 4: Simplify right side
    708.40x = 200,178.49
  5. Step 5: Solve for x
    x = 200,178.49/708.40
  6. Step 6: Final answer
    x = 282.58

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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.