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Finding the Fourth Proportional to 774.59, 1,162.80 and 410.09

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Solution

The fourth proportional to 774.59, 1,162.80 and 410.09 is: 615.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.59 : 1,162.80 = 410.09 : x
  2. Step 2: Convert to fraction form
    774.59/1,162.80 = 410.09/x
  3. Step 3: Cross multiply
    774.59x = 1,162.80 × 410.09
  4. Step 4: Simplify right side
    774.59x = 476,846.84
  5. Step 5: Solve for x
    x = 476,846.84/774.59
  6. Step 6: Final answer
    x = 615.62

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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.