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Finding the Fourth Proportional to 1,097.83, 1,647.23 and 577.70

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Solution

The fourth proportional to 1,097.83, 1,647.23 and 577.70 is: 866.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.83 : 1,647.23 = 577.70 : x
  2. Step 2: Convert to fraction form
    1,097.83/1,647.23 = 577.70/x
  3. Step 3: Cross multiply
    1,097.83x = 1,647.23 × 577.70
  4. Step 4: Simplify right side
    1,097.83x = 951,601.88
  5. Step 5: Solve for x
    x = 951,601.88/1,097.83
  6. Step 6: Final answer
    x = 866.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.