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Finding the Fourth Proportional to 772.90, 1,159.68 and 512.99

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Solution

The fourth proportional to 772.90, 1,159.68 and 512.99 is: 769.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.90 : 1,159.68 = 512.99 : x
  2. Step 2: Convert to fraction form
    772.90/1,159.68 = 512.99/x
  3. Step 3: Cross multiply
    772.90x = 1,159.68 × 512.99
  4. Step 4: Simplify right side
    772.90x = 594,909.07
  5. Step 5: Solve for x
    x = 594,909.07/772.90
  6. Step 6: Final answer
    x = 769.71

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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.