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Finding the Fourth Proportional to 782.29, 1,079.58 and 467.88

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Solution

The fourth proportional to 782.29, 1,079.58 and 467.88 is: 645.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.29 : 1,079.58 = 467.88 : x
  2. Step 2: Convert to fraction form
    782.29/1,079.58 = 467.88/x
  3. Step 3: Cross multiply
    782.29x = 1,079.58 × 467.88
  4. Step 4: Simplify right side
    782.29x = 505,106.15
  5. Step 5: Solve for x
    x = 505,106.15/782.29
  6. Step 6: Final answer
    x = 645.68

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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.