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Finding the Fourth Proportional to 752.82, 1,038.88 and 458.18

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Solution

The fourth proportional to 752.82, 1,038.88 and 458.18 is: 632.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.82 : 1,038.88 = 458.18 : x
  2. Step 2: Convert to fraction form
    752.82/1,038.88 = 458.18/x
  3. Step 3: Cross multiply
    752.82x = 1,038.88 × 458.18
  4. Step 4: Simplify right side
    752.82x = 475,997.21
  5. Step 5: Solve for x
    x = 475,997.21/752.82
  6. Step 6: Final answer
    x = 632.29

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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.