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Finding the Fourth Proportional to 909.95, 1,255.64 and 516.89

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Solution

The fourth proportional to 909.95, 1,255.64 and 516.89 is: 713.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.95 : 1,255.64 = 516.89 : x
  2. Step 2: Convert to fraction form
    909.95/1,255.64 = 516.89/x
  3. Step 3: Cross multiply
    909.95x = 1,255.64 × 516.89
  4. Step 4: Simplify right side
    909.95x = 649,028.31
  5. Step 5: Solve for x
    x = 649,028.31/909.95
  6. Step 6: Final answer
    x = 713.26

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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.