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Finding the Fourth Proportional to 782.34, 1,079.64 and 467.85

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Solution

The fourth proportional to 782.34, 1,079.64 and 467.85 is: 645.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.34 : 1,079.64 = 467.85 : x
  2. Step 2: Convert to fraction form
    782.34/1,079.64 = 467.85/x
  3. Step 3: Cross multiply
    782.34x = 1,079.64 × 467.85
  4. Step 4: Simplify right side
    782.34x = 505,109.57
  5. Step 5: Solve for x
    x = 505,109.57/782.34
  6. Step 6: Final answer
    x = 645.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.