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Finding the Fourth Proportional to 782.82, 1,174.23 and 476.64

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Solution

The fourth proportional to 782.82, 1,174.23 and 476.64 is: 714.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.82 : 1,174.23 = 476.64 : x
  2. Step 2: Convert to fraction form
    782.82/1,174.23 = 476.64/x
  3. Step 3: Cross multiply
    782.82x = 1,174.23 × 476.64
  4. Step 4: Simplify right side
    782.82x = 559,684.99
  5. Step 5: Solve for x
    x = 559,684.99/782.82
  6. Step 6: Final answer
    x = 714.96

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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.