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Finding the Fourth Proportional to 748.21, 1,122.54 and 452.05

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Solution

The fourth proportional to 748.21, 1,122.54 and 452.05 is: 678.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.21 : 1,122.54 = 452.05 : x
  2. Step 2: Convert to fraction form
    748.21/1,122.54 = 452.05/x
  3. Step 3: Cross multiply
    748.21x = 1,122.54 × 452.05
  4. Step 4: Simplify right side
    748.21x = 507,444.21
  5. Step 5: Solve for x
    x = 507,444.21/748.21
  6. Step 6: Final answer
    x = 678.21

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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.