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Finding the Fourth Proportional to 737.07, 1,105.57 and 564.04

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Solution

The fourth proportional to 737.07, 1,105.57 and 564.04 is: 846.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.07 : 1,105.57 = 564.04 : x
  2. Step 2: Convert to fraction form
    737.07/1,105.57 = 564.04/x
  3. Step 3: Cross multiply
    737.07x = 1,105.57 × 564.04
  4. Step 4: Simplify right side
    737.07x = 623,585.70
  5. Step 5: Solve for x
    x = 623,585.70/737.07
  6. Step 6: Final answer
    x = 846.03

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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.