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Finding the Fourth Proportional to 782.54, 1,174.36 and 577.64

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Solution

The fourth proportional to 782.54, 1,174.36 and 577.64 is: 866.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.54 : 1,174.36 = 577.64 : x
  2. Step 2: Convert to fraction form
    782.54/1,174.36 = 577.64/x
  3. Step 3: Cross multiply
    782.54x = 1,174.36 × 577.64
  4. Step 4: Simplify right side
    782.54x = 678,357.31
  5. Step 5: Solve for x
    x = 678,357.31/782.54
  6. Step 6: Final answer
    x = 866.87

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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.