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Finding the Fourth Proportional to 736.17, 1,102.14 and 563.51

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Solution

The fourth proportional to 736.17, 1,102.14 and 563.51 is: 843.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.17 : 1,102.14 = 563.51 : x
  2. Step 2: Convert to fraction form
    736.17/1,102.14 = 563.51/x
  3. Step 3: Cross multiply
    736.17x = 1,102.14 × 563.51
  4. Step 4: Simplify right side
    736.17x = 621,061.40
  5. Step 5: Solve for x
    x = 621,061.40/736.17
  6. Step 6: Final answer
    x = 843.64

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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.