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Finding the Fourth Proportional to 817.43, 1,224.80 and 508.72

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Solution

The fourth proportional to 817.43, 1,224.80 and 508.72 is: 762.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.43 : 1,224.80 = 508.72 : x
  2. Step 2: Convert to fraction form
    817.43/1,224.80 = 508.72/x
  3. Step 3: Cross multiply
    817.43x = 1,224.80 × 508.72
  4. Step 4: Simplify right side
    817.43x = 623,080.26
  5. Step 5: Solve for x
    x = 623,080.26/817.43
  6. Step 6: Final answer
    x = 762.24

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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.