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Finding the Fourth Proportional to 1,097.58, 1,646.42 and 367.23

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Solution

The fourth proportional to 1,097.58, 1,646.42 and 367.23 is: 550.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.58 : 1,646.42 = 367.23 : x
  2. Step 2: Convert to fraction form
    1,097.58/1,646.42 = 367.23/x
  3. Step 3: Cross multiply
    1,097.58x = 1,646.42 × 367.23
  4. Step 4: Simplify right side
    1,097.58x = 604,612.98
  5. Step 5: Solve for x
    x = 604,612.98/1,097.58
  6. Step 6: Final answer
    x = 550.86

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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.