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Finding the Fourth Proportional to 708.70, 1,063.18 and 275.80

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Solution

The fourth proportional to 708.70, 1,063.18 and 275.80 is: 413.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.70 : 1,063.18 = 275.80 : x
  2. Step 2: Convert to fraction form
    708.70/1,063.18 = 275.80/x
  3. Step 3: Cross multiply
    708.70x = 1,063.18 × 275.80
  4. Step 4: Simplify right side
    708.70x = 293,225.04
  5. Step 5: Solve for x
    x = 293,225.04/708.70
  6. Step 6: Final answer
    x = 413.75

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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.