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Finding the Fourth Proportional to 1,097.52, 1,646.35 and 367.09

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Solution

The fourth proportional to 1,097.52, 1,646.35 and 367.09 is: 550.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.52 : 1,646.35 = 367.09 : x
  2. Step 2: Convert to fraction form
    1,097.52/1,646.35 = 367.09/x
  3. Step 3: Cross multiply
    1,097.52x = 1,646.35 × 367.09
  4. Step 4: Simplify right side
    1,097.52x = 604,358.62
  5. Step 5: Solve for x
    x = 604,358.62/1,097.52
  6. Step 6: Final answer
    x = 550.66

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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.