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Finding the Fourth Proportional to 909.98, 1,256.04 and 517.26

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Solution

The fourth proportional to 909.98, 1,256.04 and 517.26 is: 713.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.98 : 1,256.04 = 517.26 : x
  2. Step 2: Convert to fraction form
    909.98/1,256.04 = 517.26/x
  3. Step 3: Cross multiply
    909.98x = 1,256.04 × 517.26
  4. Step 4: Simplify right side
    909.98x = 649,699.25
  5. Step 5: Solve for x
    x = 649,699.25/909.98
  6. Step 6: Final answer
    x = 713.97

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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.