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Finding the Fourth Proportional to 1,097.27, 1,646.01 and 366.89

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Solution

The fourth proportional to 1,097.27, 1,646.01 and 366.89 is: 550.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.27 : 1,646.01 = 366.89 : x
  2. Step 2: Convert to fraction form
    1,097.27/1,646.01 = 366.89/x
  3. Step 3: Cross multiply
    1,097.27x = 1,646.01 × 366.89
  4. Step 4: Simplify right side
    1,097.27x = 603,896.38
  5. Step 5: Solve for x
    x = 603,896.38/1,097.27
  6. Step 6: Final answer
    x = 550.37

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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.