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Finding the Fourth Proportional to 909.68, 1,254.82 and 516.42

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Solution

The fourth proportional to 909.68, 1,254.82 and 516.42 is: 712.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.68 : 1,254.82 = 516.42 : x
  2. Step 2: Convert to fraction form
    909.68/1,254.82 = 516.42/x
  3. Step 3: Cross multiply
    909.68x = 1,254.82 × 516.42
  4. Step 4: Simplify right side
    909.68x = 648,014.14
  5. Step 5: Solve for x
    x = 648,014.14/909.68
  6. Step 6: Final answer
    x = 712.35

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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.