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Finding the Fourth Proportional to 810.24, 1,117.92 and 460.80

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Solution

The fourth proportional to 810.24, 1,117.92 and 460.80 is: 635.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.24 : 1,117.92 = 460.80 : x
  2. Step 2: Convert to fraction form
    810.24/1,117.92 = 460.80/x
  3. Step 3: Cross multiply
    810.24x = 1,117.92 × 460.80
  4. Step 4: Simplify right side
    810.24x = 515,137.54
  5. Step 5: Solve for x
    x = 515,137.54/810.24
  6. Step 6: Final answer
    x = 635.78

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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.