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Finding the Fourth Proportional to 737.68, 1,017.90 and 540.84

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Solution

The fourth proportional to 737.68, 1,017.90 and 540.84 is: 746.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.68 : 1,017.90 = 540.84 : x
  2. Step 2: Convert to fraction form
    737.68/1,017.90 = 540.84/x
  3. Step 3: Cross multiply
    737.68x = 1,017.90 × 540.84
  4. Step 4: Simplify right side
    737.68x = 550,521.04
  5. Step 5: Solve for x
    x = 550,521.04/737.68
  6. Step 6: Final answer
    x = 746.29

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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.