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Finding the Fourth Proportional to 752.58, 1,038.54 and 420.94

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Solution

The fourth proportional to 752.58, 1,038.54 and 420.94 is: 580.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.58 : 1,038.54 = 420.94 : x
  2. Step 2: Convert to fraction form
    752.58/1,038.54 = 420.94/x
  3. Step 3: Cross multiply
    752.58x = 1,038.54 × 420.94
  4. Step 4: Simplify right side
    752.58x = 437,163.03
  5. Step 5: Solve for x
    x = 437,163.03/752.58
  6. Step 6: Final answer
    x = 580.89

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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.