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Finding the Fourth Proportional to 1,097.78, 1,646.38 and 328.28

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Solution

The fourth proportional to 1,097.78, 1,646.38 and 328.28 is: 492.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.78 : 1,646.38 = 328.28 : x
  2. Step 2: Convert to fraction form
    1,097.78/1,646.38 = 328.28/x
  3. Step 3: Cross multiply
    1,097.78x = 1,646.38 × 328.28
  4. Step 4: Simplify right side
    1,097.78x = 540,473.63
  5. Step 5: Solve for x
    x = 540,473.63/1,097.78
  6. Step 6: Final answer
    x = 492.33

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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.