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Finding the Fourth Proportional to 782.56, 1,173.92 and 457.96

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Solution

The fourth proportional to 782.56, 1,173.92 and 457.96 is: 686.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.56 : 1,173.92 = 457.96 : x
  2. Step 2: Convert to fraction form
    782.56/1,173.92 = 457.96/x
  3. Step 3: Cross multiply
    782.56x = 1,173.92 × 457.96
  4. Step 4: Simplify right side
    782.56x = 537,608.40
  5. Step 5: Solve for x
    x = 537,608.40/782.56
  6. Step 6: Final answer
    x = 686.99

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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.