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Finding the Fourth Proportional to 816.33, 1,126.00 and 536.42

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Solution

The fourth proportional to 816.33, 1,126.00 and 536.42 is: 739.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.33 : 1,126.00 = 536.42 : x
  2. Step 2: Convert to fraction form
    816.33/1,126.00 = 536.42/x
  3. Step 3: Cross multiply
    816.33x = 1,126.00 × 536.42
  4. Step 4: Simplify right side
    816.33x = 604,012.41
  5. Step 5: Solve for x
    x = 604,012.41/816.33
  6. Step 6: Final answer
    x = 739.91

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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.