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Finding the Fourth Proportional to 777.24, 1,164.03 and 613.83

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Solution

The fourth proportional to 777.24, 1,164.03 and 613.83 is: 919.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.24 : 1,164.03 = 613.83 : x
  2. Step 2: Convert to fraction form
    777.24/1,164.03 = 613.83/x
  3. Step 3: Cross multiply
    777.24x = 1,164.03 × 613.83
  4. Step 4: Simplify right side
    777.24x = 714,516.53
  5. Step 5: Solve for x
    x = 714,516.53/777.24
  6. Step 6: Final answer
    x = 919.30

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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.