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Finding the Fourth Proportional to 752.06, 1,038.15 and 489.98

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Solution

The fourth proportional to 752.06, 1,038.15 and 489.98 is: 676.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.06 : 1,038.15 = 489.98 : x
  2. Step 2: Convert to fraction form
    752.06/1,038.15 = 489.98/x
  3. Step 3: Cross multiply
    752.06x = 1,038.15 × 489.98
  4. Step 4: Simplify right side
    752.06x = 508,672.74
  5. Step 5: Solve for x
    x = 508,672.74/752.06
  6. Step 6: Final answer
    x = 676.37

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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.