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Finding the Fourth Proportional to 809.75, 1,117.47 and 460.46

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Solution

The fourth proportional to 809.75, 1,117.47 and 460.46 is: 635.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.75 : 1,117.47 = 460.46 : x
  2. Step 2: Convert to fraction form
    809.75/1,117.47 = 460.46/x
  3. Step 3: Cross multiply
    809.75x = 1,117.47 × 460.46
  4. Step 4: Simplify right side
    809.75x = 514,550.24
  5. Step 5: Solve for x
    x = 514,550.24/809.75
  6. Step 6: Final answer
    x = 635.44

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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.