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Finding the Fourth Proportional to 737.81, 1,017.11 and 632.41

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Solution

The fourth proportional to 737.81, 1,017.11 and 632.41 is: 871.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.81 : 1,017.11 = 632.41 : x
  2. Step 2: Convert to fraction form
    737.81/1,017.11 = 632.41/x
  3. Step 3: Cross multiply
    737.81x = 1,017.11 × 632.41
  4. Step 4: Simplify right side
    737.81x = 643,226.02
  5. Step 5: Solve for x
    x = 643,226.02/737.81
  6. Step 6: Final answer
    x = 871.81

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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.