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Finding the Fourth Proportional to 858.40, 1,289.32 and 512.41

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Solution

The fourth proportional to 858.40, 1,289.32 and 512.41 is: 769.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.40 : 1,289.32 = 512.41 : x
  2. Step 2: Convert to fraction form
    858.40/1,289.32 = 512.41/x
  3. Step 3: Cross multiply
    858.40x = 1,289.32 × 512.41
  4. Step 4: Simplify right side
    858.40x = 660,651.45
  5. Step 5: Solve for x
    x = 660,651.45/858.40
  6. Step 6: Final answer
    x = 769.64

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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.