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Finding the Fourth Proportional to 782.40, 1,173.64 and 205.26

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Solution

The fourth proportional to 782.40, 1,173.64 and 205.26 is: 307.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.40 : 1,173.64 = 205.26 : x
  2. Step 2: Convert to fraction form
    782.40/1,173.64 = 205.26/x
  3. Step 3: Cross multiply
    782.40x = 1,173.64 × 205.26
  4. Step 4: Simplify right side
    782.40x = 240,901.35
  5. Step 5: Solve for x
    x = 240,901.35/782.40
  6. Step 6: Final answer
    x = 307.90

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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.