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Finding the Fourth Proportional to 816.59, 1,223.98 and 523.16

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Solution

The fourth proportional to 816.59, 1,223.98 and 523.16 is: 784.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.59 : 1,223.98 = 523.16 : x
  2. Step 2: Convert to fraction form
    816.59/1,223.98 = 523.16/x
  3. Step 3: Cross multiply
    816.59x = 1,223.98 × 523.16
  4. Step 4: Simplify right side
    816.59x = 640,337.38
  5. Step 5: Solve for x
    x = 640,337.38/816.59
  6. Step 6: Final answer
    x = 784.16

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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.