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Finding the Fourth Proportional to 817.32, 1,223.28 and 509.40

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Solution

The fourth proportional to 817.32, 1,223.28 and 509.40 is: 762.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.32 : 1,223.28 = 509.40 : x
  2. Step 2: Convert to fraction form
    817.32/1,223.28 = 509.40/x
  3. Step 3: Cross multiply
    817.32x = 1,223.28 × 509.40
  4. Step 4: Simplify right side
    817.32x = 623,138.83
  5. Step 5: Solve for x
    x = 623,138.83/817.32
  6. Step 6: Final answer
    x = 762.42

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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.