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Finding the Fourth Proportional to 752.49, 1,038.29 and 420.90

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Solution

The fourth proportional to 752.49, 1,038.29 and 420.90 is: 580.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.49 : 1,038.29 = 420.90 : x
  2. Step 2: Convert to fraction form
    752.49/1,038.29 = 420.90/x
  3. Step 3: Cross multiply
    752.49x = 1,038.29 × 420.90
  4. Step 4: Simplify right side
    752.49x = 437,016.26
  5. Step 5: Solve for x
    x = 437,016.26/752.49
  6. Step 6: Final answer
    x = 580.76

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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.