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Finding the Fourth Proportional to 1,510.37, 2,264.82 and 632.73

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Solution

The fourth proportional to 1,510.37, 2,264.82 and 632.73 is: 948.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.37 : 2,264.82 = 632.73 : x
  2. Step 2: Convert to fraction form
    1,510.37/2,264.82 = 632.73/x
  3. Step 3: Cross multiply
    1,510.37x = 2,264.82 × 632.73
  4. Step 4: Simplify right side
    1,510.37x = 1,433,019.56
  5. Step 5: Solve for x
    x = 1,433,019.56/1,510.37
  6. Step 6: Final answer
    x = 948.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.