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Finding the Fourth Proportional to 752.63, 1,134.68 and 699.80

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Solution

The fourth proportional to 752.63, 1,134.68 and 699.80 is: 1,055.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.63 : 1,134.68 = 699.80 : x
  2. Step 2: Convert to fraction form
    752.63/1,134.68 = 699.80/x
  3. Step 3: Cross multiply
    752.63x = 1,134.68 × 699.80
  4. Step 4: Simplify right side
    752.63x = 794,039.89
  5. Step 5: Solve for x
    x = 794,039.89/752.63
  6. Step 6: Final answer
    x = 1,055.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.