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Finding the Fourth Proportional to 752.40, 1,038.33 and 420.92

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Solution

The fourth proportional to 752.40, 1,038.33 and 420.92 is: 580.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.40 : 1,038.33 = 420.92 : x
  2. Step 2: Convert to fraction form
    752.40/1,038.33 = 420.92/x
  3. Step 3: Cross multiply
    752.40x = 1,038.33 × 420.92
  4. Step 4: Simplify right side
    752.40x = 437,048.67
  5. Step 5: Solve for x
    x = 437,048.67/752.40
  6. Step 6: Final answer
    x = 580.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.