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Finding the Fourth Proportional to 752.82, 1,128.98 and 290.58

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Solution

The fourth proportional to 752.82, 1,128.98 and 290.58 is: 435.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.82 : 1,128.98 = 290.58 : x
  2. Step 2: Convert to fraction form
    752.82/1,128.98 = 290.58/x
  3. Step 3: Cross multiply
    752.82x = 1,128.98 × 290.58
  4. Step 4: Simplify right side
    752.82x = 328,059.01
  5. Step 5: Solve for x
    x = 328,059.01/752.82
  6. Step 6: Final answer
    x = 435.77

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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.