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Finding the Fourth Proportional to 737.54, 1,017.08 and 633

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Solution

The fourth proportional to 737.54, 1,017.08 and 633 is: 872.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.54 : 1,017.08 = 633 : x
  2. Step 2: Convert to fraction form
    737.54/1,017.08 = 633/x
  3. Step 3: Cross multiply
    737.54x = 1,017.08 × 633
  4. Step 4: Simplify right side
    737.54x = 643,811.64
  5. Step 5: Solve for x
    x = 643,811.64/737.54
  6. Step 6: Final answer
    x = 872.92

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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.