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Finding the Fourth Proportional to 736.02, 1,104.84 and 459

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Solution

The fourth proportional to 736.02, 1,104.84 and 459 is: 689.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.02 : 1,104.84 = 459 : x
  2. Step 2: Convert to fraction form
    736.02/1,104.84 = 459/x
  3. Step 3: Cross multiply
    736.02x = 1,104.84 × 459
  4. Step 4: Simplify right side
    736.02x = 507,121.56
  5. Step 5: Solve for x
    x = 507,121.56/736.02
  6. Step 6: Final answer
    x = 689.01

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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.