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Finding the Fourth Proportional to 817.63, 1,227.06 and 509.93

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Solution

The fourth proportional to 817.63, 1,227.06 and 509.93 is: 765.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.63 : 1,227.06 = 509.93 : x
  2. Step 2: Convert to fraction form
    817.63/1,227.06 = 509.93/x
  3. Step 3: Cross multiply
    817.63x = 1,227.06 × 509.93
  4. Step 4: Simplify right side
    817.63x = 625,714.71
  5. Step 5: Solve for x
    x = 625,714.71/817.63
  6. Step 6: Final answer
    x = 765.28

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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.