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Finding the Fourth Proportional to 816.26, 1,126.54 and 536.73

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Solution

The fourth proportional to 816.26, 1,126.54 and 536.73 is: 740.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.26 : 1,126.54 = 536.73 : x
  2. Step 2: Convert to fraction form
    816.26/1,126.54 = 536.73/x
  3. Step 3: Cross multiply
    816.26x = 1,126.54 × 536.73
  4. Step 4: Simplify right side
    816.26x = 604,644.26
  5. Step 5: Solve for x
    x = 604,644.26/816.26
  6. Step 6: Final answer
    x = 740.75

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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.