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Finding the Fourth Proportional to 816.33, 1,223.01 and 507.57

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Solution

The fourth proportional to 816.33, 1,223.01 and 507.57 is: 760.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.33 : 1,223.01 = 507.57 : x
  2. Step 2: Convert to fraction form
    816.33/1,223.01 = 507.57/x
  3. Step 3: Cross multiply
    816.33x = 1,223.01 × 507.57
  4. Step 4: Simplify right side
    816.33x = 620,763.19
  5. Step 5: Solve for x
    x = 620,763.19/816.33
  6. Step 6: Final answer
    x = 760.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.