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Finding the Fourth Proportional to 1,115.68, 1,674.54 and 568.25

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Solution

The fourth proportional to 1,115.68, 1,674.54 and 568.25 is: 852.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.68 : 1,674.54 = 568.25 : x
  2. Step 2: Convert to fraction form
    1,115.68/1,674.54 = 568.25/x
  3. Step 3: Cross multiply
    1,115.68x = 1,674.54 × 568.25
  4. Step 4: Simplify right side
    1,115.68x = 951,557.36
  5. Step 5: Solve for x
    x = 951,557.36/1,115.68
  6. Step 6: Final answer
    x = 852.89

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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.