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Finding the Fourth Proportional to 817.70, 1,223.84 and 509.78

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Solution

The fourth proportional to 817.70, 1,223.84 and 509.78 is: 762.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.70 : 1,223.84 = 509.78 : x
  2. Step 2: Convert to fraction form
    817.70/1,223.84 = 509.78/x
  3. Step 3: Cross multiply
    817.70x = 1,223.84 × 509.78
  4. Step 4: Simplify right side
    817.70x = 623,884.31
  5. Step 5: Solve for x
    x = 623,884.31/817.70
  6. Step 6: Final answer
    x = 762.98

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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.