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Finding the Fourth Proportional to 782.96, 1,172.04 and 566.48

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Solution

The fourth proportional to 782.96, 1,172.04 and 566.48 is: 847.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.96 : 1,172.04 = 566.48 : x
  2. Step 2: Convert to fraction form
    782.96/1,172.04 = 566.48/x
  3. Step 3: Cross multiply
    782.96x = 1,172.04 × 566.48
  4. Step 4: Simplify right side
    782.96x = 663,937.22
  5. Step 5: Solve for x
    x = 663,937.22/782.96
  6. Step 6: Final answer
    x = 847.98

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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.