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Finding the Fourth Proportional to 858.60, 1,288.40 and 512.78

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Solution

The fourth proportional to 858.60, 1,288.40 and 512.78 is: 769.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.60 : 1,288.40 = 512.78 : x
  2. Step 2: Convert to fraction form
    858.60/1,288.40 = 512.78/x
  3. Step 3: Cross multiply
    858.60x = 1,288.40 × 512.78
  4. Step 4: Simplify right side
    858.60x = 660,656.75
  5. Step 5: Solve for x
    x = 660,656.75/858.60
  6. Step 6: Final answer
    x = 769.46

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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.