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Finding the Fourth Proportional to 1,097.62, 1,647.10 and 577.92

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Solution

The fourth proportional to 1,097.62, 1,647.10 and 577.92 is: 867.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.62 : 1,647.10 = 577.92 : x
  2. Step 2: Convert to fraction form
    1,097.62/1,647.10 = 577.92/x
  3. Step 3: Cross multiply
    1,097.62x = 1,647.10 × 577.92
  4. Step 4: Simplify right side
    1,097.62x = 951,892.03
  5. Step 5: Solve for x
    x = 951,892.03/1,097.62
  6. Step 6: Final answer
    x = 867.23

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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.