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Finding the Fourth Proportional to 777.30, 1,164.87 and 584.70

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Solution

The fourth proportional to 777.30, 1,164.87 and 584.70 is: 876.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.30 : 1,164.87 = 584.70 : x
  2. Step 2: Convert to fraction form
    777.30/1,164.87 = 584.70/x
  3. Step 3: Cross multiply
    777.30x = 1,164.87 × 584.70
  4. Step 4: Simplify right side
    777.30x = 681,099.49
  5. Step 5: Solve for x
    x = 681,099.49/777.30
  6. Step 6: Final answer
    x = 876.24

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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.