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Finding the Fourth Proportional to 926.13, 1,278.05 and 512.13

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Solution

The fourth proportional to 926.13, 1,278.05 and 512.13 is: 706.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.13 : 1,278.05 = 512.13 : x
  2. Step 2: Convert to fraction form
    926.13/1,278.05 = 512.13/x
  3. Step 3: Cross multiply
    926.13x = 1,278.05 × 512.13
  4. Step 4: Simplify right side
    926.13x = 654,527.75
  5. Step 5: Solve for x
    x = 654,527.75/926.13
  6. Step 6: Final answer
    x = 706.73

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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.