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Finding the Fourth Proportional to 1,097.22, 1,646.10 and 327.72

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Solution

The fourth proportional to 1,097.22, 1,646.10 and 327.72 is: 491.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.22 : 1,646.10 = 327.72 : x
  2. Step 2: Convert to fraction form
    1,097.22/1,646.10 = 327.72/x
  3. Step 3: Cross multiply
    1,097.22x = 1,646.10 × 327.72
  4. Step 4: Simplify right side
    1,097.22x = 539,459.89
  5. Step 5: Solve for x
    x = 539,459.89/1,097.22
  6. Step 6: Final answer
    x = 491.66

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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.