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Finding the Fourth Proportional to 782.71, 1,174.63 and 577.83

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Solution

The fourth proportional to 782.71, 1,174.63 and 577.83 is: 867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.71 : 1,174.63 = 577.83 : x
  2. Step 2: Convert to fraction form
    782.71/1,174.63 = 577.83/x
  3. Step 3: Cross multiply
    782.71x = 1,174.63 × 577.83
  4. Step 4: Simplify right side
    782.71x = 678,736.45
  5. Step 5: Solve for x
    x = 678,736.45/782.71
  6. Step 6: Final answer
    x = 867.16

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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.