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Finding the Fourth Proportional to 752.73, 1,038.57 and 469.37

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Solution

The fourth proportional to 752.73, 1,038.57 and 469.37 is: 647.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.73 : 1,038.57 = 469.37 : x
  2. Step 2: Convert to fraction form
    752.73/1,038.57 = 469.37/x
  3. Step 3: Cross multiply
    752.73x = 1,038.57 × 469.37
  4. Step 4: Simplify right side
    752.73x = 487,476.20
  5. Step 5: Solve for x
    x = 487,476.20/752.73
  6. Step 6: Final answer
    x = 647.61

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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.