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Finding the Fourth Proportional to 752.54, 1,038.46 and 420.97

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Solution

The fourth proportional to 752.54, 1,038.46 and 420.97 is: 580.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.54 : 1,038.46 = 420.97 : x
  2. Step 2: Convert to fraction form
    752.54/1,038.46 = 420.97/x
  3. Step 3: Cross multiply
    752.54x = 1,038.46 × 420.97
  4. Step 4: Simplify right side
    752.54x = 437,160.51
  5. Step 5: Solve for x
    x = 437,160.51/752.54
  6. Step 6: Final answer
    x = 580.91

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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.