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Finding the Fourth Proportional to 1,097.96, 1,647.40 and 577.84

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Solution

The fourth proportional to 1,097.96, 1,647.40 and 577.84 is: 867.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.96 : 1,647.40 = 577.84 : x
  2. Step 2: Convert to fraction form
    1,097.96/1,647.40 = 577.84/x
  3. Step 3: Cross multiply
    1,097.96x = 1,647.40 × 577.84
  4. Step 4: Simplify right side
    1,097.96x = 951,933.62
  5. Step 5: Solve for x
    x = 951,933.62/1,097.96
  6. Step 6: Final answer
    x = 867.00

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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.