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Finding the Fourth Proportional to 809.63, 1,117.31 and 460.31

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Solution

The fourth proportional to 809.63, 1,117.31 and 460.31 is: 635.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.63 : 1,117.31 = 460.31 : x
  2. Step 2: Convert to fraction form
    809.63/1,117.31 = 460.31/x
  3. Step 3: Cross multiply
    809.63x = 1,117.31 × 460.31
  4. Step 4: Simplify right side
    809.63x = 514,308.97
  5. Step 5: Solve for x
    x = 514,308.97/809.63
  6. Step 6: Final answer
    x = 635.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.