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Finding the Fourth Proportional to 752.78, 1,129.26 and 290.46

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Solution

The fourth proportional to 752.78, 1,129.26 and 290.46 is: 435.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.78 : 1,129.26 = 290.46 : x
  2. Step 2: Convert to fraction form
    752.78/1,129.26 = 290.46/x
  3. Step 3: Cross multiply
    752.78x = 1,129.26 × 290.46
  4. Step 4: Simplify right side
    752.78x = 328,004.86
  5. Step 5: Solve for x
    x = 328,004.86/752.78
  6. Step 6: Final answer
    x = 435.72

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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.