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Finding the Fourth Proportional to 785.50, 1,179.99 and 512.02

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Solution

The fourth proportional to 785.50, 1,179.99 and 512.02 is: 769.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.50 : 1,179.99 = 512.02 : x
  2. Step 2: Convert to fraction form
    785.50/1,179.99 = 512.02/x
  3. Step 3: Cross multiply
    785.50x = 1,179.99 × 512.02
  4. Step 4: Simplify right side
    785.50x = 604,178.48
  5. Step 5: Solve for x
    x = 604,178.48/785.50
  6. Step 6: Final answer
    x = 769.16

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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.