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Finding the Fourth Proportional to 926, 1,277.92 and 512

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Solution

The fourth proportional to 926, 1,277.92 and 512 is: 706.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    926 : 1,277.92 = 512 : x
  2. Step 2: Convert to fraction form
    926/1,277.92 = 512/x
  3. Step 3: Cross multiply
    926x = 1,277.92 × 512
  4. Step 4: Simplify right side
    926x = 654,295.04
  5. Step 5: Solve for x
    x = 654,295.04/926
  6. Step 6: Final answer
    x = 706.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.