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Finding the Fourth Proportional to 752.86, 1,126.47 and 622.93

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Solution

The fourth proportional to 752.86, 1,126.47 and 622.93 is: 932.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.86 : 1,126.47 = 622.93 : x
  2. Step 2: Convert to fraction form
    752.86/1,126.47 = 622.93/x
  3. Step 3: Cross multiply
    752.86x = 1,126.47 × 622.93
  4. Step 4: Simplify right side
    752.86x = 701,703.21
  5. Step 5: Solve for x
    x = 701,703.21/752.86
  6. Step 6: Final answer
    x = 932.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.