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Finding the Fourth Proportional to 1,097.76, 1,646.46 and 367.24

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Solution

The fourth proportional to 1,097.76, 1,646.46 and 367.24 is: 550.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.76 : 1,646.46 = 367.24 : x
  2. Step 2: Convert to fraction form
    1,097.76/1,646.46 = 367.24/x
  3. Step 3: Cross multiply
    1,097.76x = 1,646.46 × 367.24
  4. Step 4: Simplify right side
    1,097.76x = 604,645.97
  5. Step 5: Solve for x
    x = 604,645.97/1,097.76
  6. Step 6: Final answer
    x = 550.80

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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.