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Finding the Fourth Proportional to 707.92, 1,062.31 and 275.06

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Solution

The fourth proportional to 707.92, 1,062.31 and 275.06 is: 412.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.92 : 1,062.31 = 275.06 : x
  2. Step 2: Convert to fraction form
    707.92/1,062.31 = 275.06/x
  3. Step 3: Cross multiply
    707.92x = 1,062.31 × 275.06
  4. Step 4: Simplify right side
    707.92x = 292,198.99
  5. Step 5: Solve for x
    x = 292,198.99/707.92
  6. Step 6: Final answer
    x = 412.76

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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.