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Finding the Fourth Proportional to 737.46, 1,105.14 and 582.72

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Solution

The fourth proportional to 737.46, 1,105.14 and 582.72 is: 873.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.46 : 1,105.14 = 582.72 : x
  2. Step 2: Convert to fraction form
    737.46/1,105.14 = 582.72/x
  3. Step 3: Cross multiply
    737.46x = 1,105.14 × 582.72
  4. Step 4: Simplify right side
    737.46x = 643,987.18
  5. Step 5: Solve for x
    x = 643,987.18/737.46
  6. Step 6: Final answer
    x = 873.25

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Why These Related Problems?

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