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Finding the Fourth Proportional to 782.32, 1,173.48 and 205.18

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Solution

The fourth proportional to 782.32, 1,173.48 and 205.18 is: 307.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.32 : 1,173.48 = 205.18 : x
  2. Step 2: Convert to fraction form
    782.32/1,173.48 = 205.18/x
  3. Step 3: Cross multiply
    782.32x = 1,173.48 × 205.18
  4. Step 4: Simplify right side
    782.32x = 240,774.63
  5. Step 5: Solve for x
    x = 240,774.63/782.32
  6. Step 6: Final answer
    x = 307.77

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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.