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Finding the Fourth Proportional to 708.09, 1,062.50 and 275.37

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Solution

The fourth proportional to 708.09, 1,062.50 and 275.37 is: 413.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.09 : 1,062.50 = 275.37 : x
  2. Step 2: Convert to fraction form
    708.09/1,062.50 = 275.37/x
  3. Step 3: Cross multiply
    708.09x = 1,062.50 × 275.37
  4. Step 4: Simplify right side
    708.09x = 292,579.25
  5. Step 5: Solve for x
    x = 292,579.25/708.09
  6. Step 6: Final answer
    x = 413.20

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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.