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Finding the Fourth Proportional to 782.30, 1,173.09 and 457.82

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Solution

The fourth proportional to 782.30, 1,173.09 and 457.82 is: 686.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.30 : 1,173.09 = 457.82 : x
  2. Step 2: Convert to fraction form
    782.30/1,173.09 = 457.82/x
  3. Step 3: Cross multiply
    782.30x = 1,173.09 × 457.82
  4. Step 4: Simplify right side
    782.30x = 537,064.06
  5. Step 5: Solve for x
    x = 537,064.06/782.30
  6. Step 6: Final answer
    x = 686.52

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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.