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Finding the Fourth Proportional to 774.60, 1,162.80 and 445.80

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Solution

The fourth proportional to 774.60, 1,162.80 and 445.80 is: 669.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.60 : 1,162.80 = 445.80 : x
  2. Step 2: Convert to fraction form
    774.60/1,162.80 = 445.80/x
  3. Step 3: Cross multiply
    774.60x = 1,162.80 × 445.80
  4. Step 4: Simplify right side
    774.60x = 518,376.24
  5. Step 5: Solve for x
    x = 518,376.24/774.60
  6. Step 6: Final answer
    x = 669.22

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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.