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Finding the Fourth Proportional to 816.70, 1,223.43 and 527.53

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Solution

The fourth proportional to 816.70, 1,223.43 and 527.53 is: 790.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.70 : 1,223.43 = 527.53 : x
  2. Step 2: Convert to fraction form
    816.70/1,223.43 = 527.53/x
  3. Step 3: Cross multiply
    816.70x = 1,223.43 × 527.53
  4. Step 4: Simplify right side
    816.70x = 645,396.03
  5. Step 5: Solve for x
    x = 645,396.03/816.70
  6. Step 6: Final answer
    x = 790.25

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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.