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Finding the Fourth Proportional to 777.82, 1,165.80 and 465.03

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Solution

The fourth proportional to 777.82, 1,165.80 and 465.03 is: 696.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.82 : 1,165.80 = 465.03 : x
  2. Step 2: Convert to fraction form
    777.82/1,165.80 = 465.03/x
  3. Step 3: Cross multiply
    777.82x = 1,165.80 × 465.03
  4. Step 4: Simplify right side
    777.82x = 542,131.97
  5. Step 5: Solve for x
    x = 542,131.97/777.82
  6. Step 6: Final answer
    x = 696.99

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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.