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Finding the Fourth Proportional to 806.97, 1,113.84 and 512.13

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Solution

The fourth proportional to 806.97, 1,113.84 and 512.13 is: 706.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.97 : 1,113.84 = 512.13 : x
  2. Step 2: Convert to fraction form
    806.97/1,113.84 = 512.13/x
  3. Step 3: Cross multiply
    806.97x = 1,113.84 × 512.13
  4. Step 4: Simplify right side
    806.97x = 570,430.88
  5. Step 5: Solve for x
    x = 570,430.88/806.97
  6. Step 6: Final answer
    x = 706.88

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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.