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Finding the Fourth Proportional to 752.27, 1,038.09 and 420.64

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Solution

The fourth proportional to 752.27, 1,038.09 and 420.64 is: 580.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.27 : 1,038.09 = 420.64 : x
  2. Step 2: Convert to fraction form
    752.27/1,038.09 = 420.64/x
  3. Step 3: Cross multiply
    752.27x = 1,038.09 × 420.64
  4. Step 4: Simplify right side
    752.27x = 436,665.82
  5. Step 5: Solve for x
    x = 436,665.82/752.27
  6. Step 6: Final answer
    x = 580.46

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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.