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Finding the Fourth Proportional to 782.10, 1,171.26 and 456.48

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Solution

The fourth proportional to 782.10, 1,171.26 and 456.48 is: 683.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.10 : 1,171.26 = 456.48 : x
  2. Step 2: Convert to fraction form
    782.10/1,171.26 = 456.48/x
  3. Step 3: Cross multiply
    782.10x = 1,171.26 × 456.48
  4. Step 4: Simplify right side
    782.10x = 534,656.76
  5. Step 5: Solve for x
    x = 534,656.76/782.10
  6. Step 6: Final answer
    x = 683.62

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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.