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Finding the Fourth Proportional to 1,097.16, 1,645.74 and 327.84

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Solution

The fourth proportional to 1,097.16, 1,645.74 and 327.84 is: 491.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.16 : 1,645.74 = 327.84 : x
  2. Step 2: Convert to fraction form
    1,097.16/1,645.74 = 327.84/x
  3. Step 3: Cross multiply
    1,097.16x = 1,645.74 × 327.84
  4. Step 4: Simplify right side
    1,097.16x = 539,539.40
  5. Step 5: Solve for x
    x = 539,539.40/1,097.16
  6. Step 6: Final answer
    x = 491.76

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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.