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Finding the Fourth Proportional to 752.49, 1,038.35 and 420.86

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Solution

The fourth proportional to 752.49, 1,038.35 and 420.86 is: 580.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.49 : 1,038.35 = 420.86 : x
  2. Step 2: Convert to fraction form
    752.49/1,038.35 = 420.86/x
  3. Step 3: Cross multiply
    752.49x = 1,038.35 × 420.86
  4. Step 4: Simplify right side
    752.49x = 437,003.63
  5. Step 5: Solve for x
    x = 437,003.63/752.49
  6. Step 6: Final answer
    x = 580.74

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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.