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Finding the Fourth Proportional to 745.53, 1,117.22 and 452.04

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Solution

The fourth proportional to 745.53, 1,117.22 and 452.04 is: 677.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.53 : 1,117.22 = 452.04 : x
  2. Step 2: Convert to fraction form
    745.53/1,117.22 = 452.04/x
  3. Step 3: Cross multiply
    745.53x = 1,117.22 × 452.04
  4. Step 4: Simplify right side
    745.53x = 505,025.87
  5. Step 5: Solve for x
    x = 505,025.87/745.53
  6. Step 6: Final answer
    x = 677.41

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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.