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Finding the Fourth Proportional to 782.08, 1,173.11 and 459.49

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Solution

The fourth proportional to 782.08, 1,173.11 and 459.49 is: 689.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.08 : 1,173.11 = 459.49 : x
  2. Step 2: Convert to fraction form
    782.08/1,173.11 = 459.49/x
  3. Step 3: Cross multiply
    782.08x = 1,173.11 × 459.49
  4. Step 4: Simplify right side
    782.08x = 539,032.31
  5. Step 5: Solve for x
    x = 539,032.31/782.08
  6. Step 6: Final answer
    x = 689.23

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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.