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Finding the Fourth Proportional to 1,097.80, 1,646.76 and 367.44

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Solution

The fourth proportional to 1,097.80, 1,646.76 and 367.44 is: 551.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.80 : 1,646.76 = 367.44 : x
  2. Step 2: Convert to fraction form
    1,097.80/1,646.76 = 367.44/x
  3. Step 3: Cross multiply
    1,097.80x = 1,646.76 × 367.44
  4. Step 4: Simplify right side
    1,097.80x = 605,085.49
  5. Step 5: Solve for x
    x = 605,085.49/1,097.80
  6. Step 6: Final answer
    x = 551.18

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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.