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Finding the Fourth Proportional to 777.50, 1,164.61 and 485.14

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Solution

The fourth proportional to 777.50, 1,164.61 and 485.14 is: 726.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.50 : 1,164.61 = 485.14 : x
  2. Step 2: Convert to fraction form
    777.50/1,164.61 = 485.14/x
  3. Step 3: Cross multiply
    777.50x = 1,164.61 × 485.14
  4. Step 4: Simplify right side
    777.50x = 564,998.90
  5. Step 5: Solve for x
    x = 564,998.90/777.50
  6. Step 6: Final answer
    x = 726.69

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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.