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Finding the Fourth Proportional to 752.19, 1,038.02 and 420.64

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Solution

The fourth proportional to 752.19, 1,038.02 and 420.64 is: 580.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.19 : 1,038.02 = 420.64 : x
  2. Step 2: Convert to fraction form
    752.19/1,038.02 = 420.64/x
  3. Step 3: Cross multiply
    752.19x = 1,038.02 × 420.64
  4. Step 4: Simplify right side
    752.19x = 436,633.87
  5. Step 5: Solve for x
    x = 436,633.87/752.19
  6. Step 6: Final answer
    x = 580.49

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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.