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Finding the Fourth Proportional to 736.34, 1,104.75 and 614.10

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Solution

The fourth proportional to 736.34, 1,104.75 and 614.10 is: 921.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.34 : 1,104.75 = 614.10 : x
  2. Step 2: Convert to fraction form
    736.34/1,104.75 = 614.10/x
  3. Step 3: Cross multiply
    736.34x = 1,104.75 × 614.10
  4. Step 4: Simplify right side
    736.34x = 678,426.98
  5. Step 5: Solve for x
    x = 678,426.98/736.34
  6. Step 6: Final answer
    x = 921.35

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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.