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Finding the Fourth Proportional to 752.33, 1,038.24 and 420.74

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Solution

The fourth proportional to 752.33, 1,038.24 and 420.74 is: 580.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.33 : 1,038.24 = 420.74 : x
  2. Step 2: Convert to fraction form
    752.33/1,038.24 = 420.74/x
  3. Step 3: Cross multiply
    752.33x = 1,038.24 × 420.74
  4. Step 4: Simplify right side
    752.33x = 436,823.91
  5. Step 5: Solve for x
    x = 436,823.91/752.33
  6. Step 6: Final answer
    x = 580.63

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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.