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Finding the Fourth Proportional to 953.73, 1,315.11 and 732.21

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Solution

The fourth proportional to 953.73, 1,315.11 and 732.21 is: 1,009.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.73 : 1,315.11 = 732.21 : x
  2. Step 2: Convert to fraction form
    953.73/1,315.11 = 732.21/x
  3. Step 3: Cross multiply
    953.73x = 1,315.11 × 732.21
  4. Step 4: Simplify right side
    953.73x = 962,936.69
  5. Step 5: Solve for x
    x = 962,936.69/953.73
  6. Step 6: Final answer
    x = 1,009.65

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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.