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Finding the Fourth Proportional to 782.34, 1,175.34 and 457.94

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Solution

The fourth proportional to 782.34, 1,175.34 and 457.94 is: 687.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.34 : 1,175.34 = 457.94 : x
  2. Step 2: Convert to fraction form
    782.34/1,175.34 = 457.94/x
  3. Step 3: Cross multiply
    782.34x = 1,175.34 × 457.94
  4. Step 4: Simplify right side
    782.34x = 538,229.32
  5. Step 5: Solve for x
    x = 538,229.32/782.34
  6. Step 6: Final answer
    x = 687.97

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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.