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Finding the Fourth Proportional to 736.11, 1,098.47 and 654.30

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Solution

The fourth proportional to 736.11, 1,098.47 and 654.30 is: 976.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.11 : 1,098.47 = 654.30 : x
  2. Step 2: Convert to fraction form
    736.11/1,098.47 = 654.30/x
  3. Step 3: Cross multiply
    736.11x = 1,098.47 × 654.30
  4. Step 4: Simplify right side
    736.11x = 718,730.56
  5. Step 5: Solve for x
    x = 718,730.56/736.11
  6. Step 6: Final answer
    x = 976.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.