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Finding the Fourth Proportional to 774.12, 1,159.92 and 409.08

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Solution

The fourth proportional to 774.12, 1,159.92 and 409.08 is: 612.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.12 : 1,159.92 = 409.08 : x
  2. Step 2: Convert to fraction form
    774.12/1,159.92 = 409.08/x
  3. Step 3: Cross multiply
    774.12x = 1,159.92 × 409.08
  4. Step 4: Simplify right side
    774.12x = 474,500.07
  5. Step 5: Solve for x
    x = 474,500.07/774.12
  6. Step 6: Final answer
    x = 612.95

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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.